×
Edit Profile (opens in new tab)

Petersen, Ian Richard

Co-Author Distance
Author ID: petersen.ian-r Recent zbMATH articles by "Petersen, Ian Richard"
Published as: Petersen, Ian R.; Petersen, I. R.; Petersen, Ian
Homepage: https://researchers.anu.edu.au/researchers/petersen-irx
External Links: MGP · ORCID · Google Scholar · dblp · GND
Documents Indexed: 282 Publications since 1983, including 3 Books and 14 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors: 125 Co-Authors with 245 Joint Publications
3,192 Co-Co-Authors
all top 5

Co-Authors

38 single-authored
40 Savkin, Andrey V.
29 Dong, Daoyi
27 Ugrinovskii, Valery A.
21 James, Matthew R.
19 Vladimirov, Igor G.
15 Lanzon, Alexander
12 Moheimani, S. O. Reza
10 Woolley, Matthew James
8 Pota, Hemanshu Roy
8 Shi, Guodong
8 Xiong, Junlin
8 Yonezawa, Hidehiro
7 Kallapur, Abhijit G.
7 Maalouf, Aline I.
6 Gao, Qing
6 Ma, Shan
6 Wang, Yuanlong
5 Barmish, B. Ross
5 Emzir, Muhammad Fuady
5 Mabrok, Mohamed A.
5 Rehman, Obaid Ur
5 Xiang, Chengdi
5 Zhang, Guofeng
4 Grivopoulos, Symeon
4 Harno, Hendra G.
4 Huntington, Elanor H.
4 McFarlane, Duncan C.
4 Miao, Zibo
4 Nurdin, Hendra Ishwara
4 Patra, Sourav
4 Song, Zhuoyue
3 Dannatt, James
3 Duffaut Espinosa, Luis A.
3 Evans, Robin J.
3 Ghallab, Ahmed G.
3 Hollot, Christopher V.
3 Liu, Yanan
3 Rana, Md. Sohel
3 Rotea, Mario A.
3 Roy, Shibdas
3 Shaiju, A. J.
3 Shen, Tao
3 Shi, Kanghong
3 Sichani, Arash Kh.
3 Xie, Li
3 Yamamoto, Naoki
3 Yokoyama, Shota
2 Anavatti, Sreenatha Gopalarao
2 Bitmead, Robert R.
2 Corless, Martin J.
2 Ding, Steven X.
2 Dupuis, Paul G.
2 Fidan, Barış
2 Gevers, Michel R.
2 Habibullah, Habib
2 Khargonekar, Pramod P.
2 Kuang, Sen
2 Lam, James
2 Li, Bo
2 Li, Jr-Shin
2 Mu, Biqiang
2 Ouyang, Hua
2 Qi, Bo
2 Qi, Hongsheng
2 Rabitz, Herschel A.
2 Ratnam, Elizabeth L.
2 Skafidas, Efstratios
2 Wang, Jianan
2 Wang, Xing
2 Xiang, Guo-Yong
2 Xue, Shibei
2 Yoon, Myunggon
2 Zhang, Jun
1 Anderson, Brian David Outram
1 Betz, R. E.
1 Bhardwaj, Abhishek
1 Boel, René K.
1 Cappellaro, Paola
1 Chen, Weining
1 Chen, Yijun
1 Chuang, Ning
1 Collado, Joaquin M.
1 Da, Dong
1 Esfahani, Said H.
1
1 Feuer, Arie
1 Fu, Shuangshuang
1 Garratt, Matthew A.
1 Gough, John E.
1 Haggag, Mohamed A.
1 Heurs, M.
1 Hou, Zhibo
1 Huang, Chang-Jiang
1 Islam, Razibul
1 Jiang, Jianming
1 Johansson, Karl Henrik
1 Jonckheere, Edmond A.
1 Khong, Sei Zhen
1 Li, Jinghao
1 Li, Li
...and 26 more Co-Authors
all top 5

Serials

67 Automatica
63 IEEE Transactions on Automatic Control
27 Systems & Control Letters
14 International Journal of Robust and Nonlinear Control
13 SIAM Journal on Control and Optimization
11 International Journal of Control
8 Asian Journal of Control
4 International Journal of Systems Science
4 Journal of the Franklin Institute
4 Journal of Optimization Theory and Applications
4 Journal of Physics A: Mathematical and Theoretical
3 IEEE Transactions on Information Theory
3 MCSS. Mathematics of Control, Signals, and Systems
3 Dynamics and Control
3 IEE Proceedings. Control Theory and Applications
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Quantum Information Processing
2 International Journal of Adaptive Control and Signal Processing
2 European Journal of Control
1 Journal of Mathematical Physics
1 Journal of Sound and Vibration
1 Physics Letters. A
1 Applied Mathematics and Optimization
1 Kybernetika
1 IMA Journal of Mathematical Control and Information
1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications
1 Journal of Mathematical Systems, Estimation, and Control
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 New Journal of Physics
1 International Journal of Applied Mathematics and Computer Science
1 Communications in Information and Systems
1 Applied and Computational Mathematics
1 IET Control Theory & Applications
1 Communications and Control Engineering
1 Control Engineering
all top 5

Fields

245 Systems theory; control (93-XX)
89 Quantum theory (81-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
20 Probability theory and stochastic processes (60-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
14 Ordinary differential equations (34-XX)
13 Information and communication theory, circuits (94-XX)
8 Operations research, mathematical programming (90-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Partial differential equations (35-XX)
5 Statistics (62-XX)
4 Nonassociative rings and algebras (17-XX)
4 Operator theory (47-XX)
3 Functions of a complex variable (30-XX)
3 Numerical analysis (65-XX)
3 Computer science (68-XX)
3 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Combinatorics (05-XX)
2 Approximations and expansions (41-XX)
2 Mechanics of deformable solids (74-XX)
2 Optics, electromagnetic theory (78-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

234 Publications have been cited 3,440 times in 2,031 Documents Cited by ▼ Year ▼
A stabilization algorithm for a class of uncertain linear systems. Zbl 0618.93056
Petersen, Ian R.
338
1987
Robust stabilization of uncertain linear systems: Quadratic stabilizability and \(H^{\infty}\) control theory. Zbl 0707.93060
Khargonekar, Pramod P.; Petersen, Ian R.; Zhou, Kemin
325
1990
A Riccati equation approach to the stabilization of uncertain linear systems. Zbl 0602.93055
Petersen, Ian R.; Hollot, Christopher V.
188
1986
Robust control design using \(H^\infty\)-methods. Zbl 0963.93003
Petersen, Ian R.; Ugrinovskii, V. A.; Savkin, A. V.
107
2000
Optimal guaranteed cost control and filtering for uncertain linear systems. Zbl 0817.93025
Petersen, Ian R.; McFarlane, Duncan C.
102
1994
\(H^{\infty}\) control of linear quantum stochastic systems. Zbl 1367.93178
James, Matthew R.; Nurdin, Hendra I.; Petersen, Ian R.
87
2008
Disturbance attenuation and \(H^{\infty}\) optimization: A design method based on the algebraic Riccati equation. Zbl 0626.93063
Petersen, Ian R.
81
1987
Minimax optimal control of stochastic uncertain systems with relative entropy constraints. Zbl 0978.93083
Petersen, Ian R.; James, Matthew R.; Dupuis, Paul
72
2000
Stability robustness of a feedback interconnection of systems with negative imaginary frequency response. Zbl 1367.93469
Lanzon, Alexander; Petersen, Ian R.
70
2008
Stability results for switched controller systems. Zbl 0949.93014
Skafidas, Efstratios; Evans, Robin J.; Savkin, Andrey V.; Petersen, Ian R.
64
1999
Coherent quantum LQG control. Zbl 1185.49037
Nurdin, Hendra I.; James, Matthew R.; Petersen, Ian R.
59
2009
Robust Kalman filtering for signals and systems with large uncertainties. Zbl 1033.93002
Petersen, Ian; Savkin, Andrey
56
1999
Robust control of uncertain systems: classical results and recent developments. Zbl 1296.93048
Petersen, Ian R.; Tempo, Roberto
55
2014
A negative imaginary lemma and the stability of interconnections of linear negative imaginary systems. Zbl 1368.93483
Xiong, Junlin; Petersen, Ian R.; Lanzon, Alexander
53
2010
A first principles solution to the non-singular \(H^ \infty\) control problem. Zbl 0759.93027
Petersen, Ian R.; Anderson, Brian D. O.; Jonckheere, Edmond A.
51
1991
\(H_{\infty}\)-optimal control with state-feedback. Zbl 0655.93026
Khargonekar, Pramod P.; Petersen, Ian R.; Rotea, Mario A.
50
1988
Generalizing negative imaginary systems theory to include free body dynamics: control of highly resonant structures with free body motion. Zbl 1360.70011
Mabrok, Mohamed A.; Kallapur, Abhijit G.; Petersen, Ian R.; Lanzon, Alexander
42
2014
Sliding mode control of two-level quantum systems. Zbl 1246.93027
Dong, Daoyi; Petersen, Ian R.
37
2012
A negative-imaginary lemma without minimality assumptions and robust state-feedback synthesis for uncertain negative-imaginary systems. Zbl 1255.93057
Song, Zhuoyue; Lanzon, Alexander; Patra, Sourav; Petersen, Ian R.
31
2012
Optimal guaranteed cost control of discrete-time uncertain linear systems. Zbl 0911.93048
Petersen, Ian R.; McFarlane, Duncan C.; Rotea, Mario A.
31
1998
Monotonicity and stabilizability properties of solutions of the Riccati difference equation: Propositions, lemmas, theorems, fallacious conjectures and counterexamples. Zbl 0567.93059
Bitmead, Robert R.; Gevers, Michel R.; Petersen, Ian R.
27
1985
An LMI approach to output-feedback-guaranteed cost control for uncertain time-delay systems. Zbl 0951.93032
Esfahani, Said H.; Petersen, Ian R.
26
2000
A Riccati equation approach to the design of stabilizing controllers and observers for a class of uncertain linear systems. Zbl 0571.93051
Petersen, Ian R.
25
1985
Absolute stabilization and minimax optimal control of uncertain systems with stochastic uncertainty. Zbl 0938.93064
Ugrinovskii, V. A.; Petersen, I. R.
25
1999
Robust output feedback consensus for networked negative-imaginary systems. Zbl 1360.93259
Wang, Jianan; Lanzon, Alexander; Petersen, Ian R.
25
2015
Optimal quadratic guaranteed cost control of a class of uncertain time-delay systems. Zbl 0873.49024
Moheimani, S. O. R.; Petersen, I. R.
24
1997
Minimax optimal control of uncertain systems with structured uncertainty. Zbl 0829.49003
Savkin, Andrey V.; Petersen, Ian R.
24
1995
Linear ultimate boundedness control of uncertain dynamical systems. Zbl 0525.93049
Barmish, B. Ross; Petersen, Ian R.; Feuer, Arie
24
1983
Robustness and risk-sensitive filtering. Zbl 1364.93792
Boel, Rene K.; James, Matthew R.; Petersen, Ian R.
24
2002
A generalized negative imaginary lemma and Riccati-based static state-feedback negative imaginary synthesis. Zbl 1310.93067
Mabrok, Mohamed; Kallapur, Abhijit G.; Petersen, Ian R.; Lanzon, Alexander
23
2015
Output feedback negative imaginary synthesis under structural constraints. Zbl 1343.93038
Xiong, Junlin; Lam, James; Petersen, Ian R.
22
2016
Robust cooperative control of multiple heterogeneous negative-imaginary systems. Zbl 1327.93029
Wang, Jianan; Lanzon, Alexander; Petersen, Ian R.
22
2015
Robust properties of risk-sensitive control. Zbl 0971.93081
Dupuis, Paul; James, Matthew R.; Petersen, Ian
21
2000
Optimal guaranteed cost control of uncertain systems via static and dynamic output feedback. Zbl 0855.93093
Moheimani, S. O. Reza; Petersen, Ian R.
21
1996
Quadratic stabilizability of uncertain linear systems: Existence of a nonlinear stabilizing control does not imply existence of a linear stabilizing control. Zbl 0555.93051
Petersen, Ian R.
21
1985
Set-valued state estimation via a limited capacity communication channel. Zbl 1364.93784
Savkin, Andrey V.; Petersen, Ian R.
21
2003
Optimal guaranteed cost filtering for uncertain discrete-time linear systems. Zbl 1035.93509
Petersen, Ian R.; McFarlane, Duncan C.
20
1996
Coherent \(H^\infty\) control for a class of annihilation operator linear quantum systems. Zbl 1368.81092
Maalouf, Aline I.; Petersen, Ian R.
20
2011
Robust performance analysis for uncertain negative-imaginary systems. Zbl 1261.93042
Song, Zhuoyue; Lanzon, Alexander; Patra, Sourav; Petersen, Ian R.
19
2012
Finite horizon minimax optimal control of stochastic partially observed time varying uncertain systems. Zbl 0929.93038
Ugrinovskii, Valery A.; Petersen, Ian R.
19
1999
Towards controller synthesis for systems with negative imaginary frequency response. Zbl 1368.93191
Song, Zhuoyue; Lanzon, Alexander; Patra, Sourav; Petersen, Ian R.
19
2010
Robust stabilization of linear uncertain discrete-time systems via a limited capacity communication channel. Zbl 1157.93473
Phat, Vu N.; Jiang, Jianming; Savkin, Andrey V.; Petersen, Ian R.
18
2004
Rapid Lyapunov control of finite-dimensional quantum systems. Zbl 1373.81227
Kuang, Sen; Dong, Daoyi; Petersen, Ian R.
18
2017
A procedure for simultaneously stabilizing a collection of single input linear systems using non-linear state feedback control. Zbl 0618.93055
Petersen, Ian R.
17
1987
A connection between \(H^ \infty\) control and the absolute stabilizability of uncertain systems. Zbl 0815.93071
Savkin, Andrey V.; Petersen, Ian R.
17
1994
A strongly strict negative-imaginary lemma for non-minimal linear systems. Zbl 1271.93126
Lanzon, Alexander; Song, Zhuoyue; Patra, Sourav; Petersen, Ian R.
16
2011
Recursive state estimation for uncertain systems with an integral quadratic constraint. Zbl 0829.93060
Savkin, Andrey V.; Petersen, Ian R.
16
1995
Structural stabilization of uncertain systems: Necessity of the matching condition. Zbl 0563.93054
Petersen, Ian R.
16
1985
Minimax LQG control of stochastic partially observed uncertain systems. Zbl 1016.93072
Ugrinovskii, Valery A.; Petersen, Ian R.
16
2001
Robust state estimation and model validation for discrete-time uncertain systems with a deterministic description of noise and uncertainty. Zbl 0917.93011
Savkin, Andrey V.; Petersen, Ian R.
16
1998
Bounded real properties for a class of annihilation-operator linear quantum systems. Zbl 1368.81093
Maalouf, Aline I.; Petersen, Ian R.
16
2011
Robust stability of uncertain linear quantum systems. Zbl 1353.81073
Petersen, Ian R.; Ugrinovskii, Valery; James, Matthew R.
15
2012
Nonlinear versus linear control in the absolute stabilizability of uncertain systems with structured uncertainty. Zbl 0925.93843
Savkin, Andrey V.; Petersen, Ian R.
15
1995
A frequency domain condition for the physical realizability of linear quantum systems. Zbl 1369.81045
Shaiju, A. J.; Petersen, Ian R.
15
2012
Stabilization of an uncertain linear system in which uncertain parameters enter into the input matrix. Zbl 0667.93087
Petersen, Ian R.
14
1988
Linear quadratic differential games with cheap control. Zbl 0629.90103
Petersen, Ian R.
13
1986
Decentralized state-feedback stabilization and robust control of uncertain large-scale systems with integrally constrained interconnections. Zbl 0977.93006
Ugrinovskii, V. A.; Petersen, I. R.; Savkin, A. V.; Ugrinovskaya, E. Y.
13
2000
Robust output feedback guaranteed cost control of nonlinear stochastic uncertain systems via an IQC approach. Zbl 1367.93740
Petersen, Ian R.
13
2009
Local mode dependent decentralized stabilization of uncertain Markovian jump large-scale systems. Zbl 1367.93593
Xiong, Junlin; Ugrinovskii, Valery A.; Petersen, Ian R.
13
2009
Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control. Zbl 1226.93071
Petersen, Ian R.
12
2011
A miscellany of results on an equation of Count J. F. Riccati. Zbl 0608.34029
Poubelle, Marie-Antoinette; Petersen, Ian R.; Gevers, Michel R.; Bitmead, Robert R.
12
1986
Quadratic stabilizability of uncertain linear systems containing both constant and time-varying uncertain parameters. Zbl 0624.93056
Petersen, I. R.
12
1988
Guaranteed cost LQG control of uncertain linear systems. Zbl 0822.93063
Petersen, I. R.
12
1995
On lossless negative imaginary systems. Zbl 1244.93140
Xiong, Junlin; Petersen, Ian R.; Lanzon, Alexander
12
2012
Uncertainty modeling and robust minimax LQR control of multivariable nonlinear systems with application to hypersonic flight. Zbl 1303.93072
Rehman, Obaid Ur; Fidan, Barış; Petersen, Ian R.
12
2012
A discrete-time robust extended Kalman filter for uncertain systems with sum quadratic constraints. Zbl 1367.93648
Kallapur, Abhijit G.; Petersen, Ian R.; Anavatti, Sreenatha G.
12
2009
High gain observers applied to problems in the stabilization of uncertain linear systems, disturbance attenuation and \(H^{\infty}\) optimization. Zbl 0732.93032
Petersen, Ian R.; Hollot, Christopher V.
11
1988
Notions of stabilizability and controllability for a class of uncertain linear systems. Zbl 0625.93010
Petersen, Ian R.
11
1987
Model validation for robust control of uncertain systems with an integral quadratic constraint. Zbl 0850.93059
Savkin, Andrey V.; Petersen, Ian R.
11
1996
Structured dissipativeness and absolute stability of nonlinear systems. Zbl 0834.93038
Savkin, Andrey V.; Petersen, Ian R.
11
1995
Hybrid dynamical systems: robust control synthesis problems. Zbl 0866.93038
Savkin, Andrey V.; Petersen, Ian R.; Skafidas, Efstratios; Evans, Robin J.
11
1996
Robust filtering, prediction, smoothing, and observability of uncertain systems. Zbl 0916.93078
Moheimani, S. O. Reza; Savkin, Andrey V.; Petersen, Ian R.
11
1998
Notes on sliding mode control of two-level quantum systems. Zbl 1255.93036
Dong, Daoyi; Petersen, Ian R.
10
2012
A class of stability regions for which a Kharitonov-like theorem holds. Zbl 0695.93093
Petersen, Ian R.
10
1989
Some new results on algebraic Riccati equations arising in linear quadratic differential games and stabilization on uncertain linear systems. Zbl 0663.93022
Petersen, Ian R.
10
1988
Fault tolerant quantum filtering and fault detection for quantum systems. Zbl 1343.93086
Gao, Qing; Dong, Daoyi; Petersen, Ian R.
10
2016
The Kalman decomposition for linear quantum systems. Zbl 1390.93184
Zhang, Guofeng; Grivopoulos, Symeon; Petersen, Ian R.; Gough, John E.
10
2018
Optimal Lyapunov quantum control of two-level systems: convergence and extended techniques. Zbl 1331.81134
Wang, L. C.; Hou, S. C.; Yi, X. X.; Dong, Daoyi; Petersen, Ian R.
10
2014
A quantum Hamiltonian identification algorithm: computational complexity and error analysis. Zbl 1395.81092
Wang, Yuanlong; Dong, Daoyi; Qi, Bo; Zhang, Jun; Petersen, Ian R.; Yonezawa, Hidehiro
9
2018
Robust incoherent control of qubit systems via switching and optimisation. Zbl 1184.93073
Dong, Daoyi; Lam, James; Petersen, Ian R.
9
2010
Time-varying \(H^{\infty}\) control for a class of linear quantum systems: a dynamic game approach. Zbl 1252.93048
Maalouf, A. I.; Petersen, I. R.
9
2012
Minimax LQG control. Zbl 1136.93465
Petersen, Ian R.
9
2006
Robust pole assignment. Zbl 0625.93029
Soh, Y. C.; Evans, R. J.; Petersen, I. R.; Betz, R. E.
9
1987
Robust \(H^ \infty\) control of uncertain systems with structured uncertainty. Zbl 0864.93042
Savkin, Andrey V.; Petersen, Ian R.
9
1996
Quadratic guaranteed cost control with robust pole placement in a disk. Zbl 0852.93037
Moheimani, S. O. Reza; Petersen, I. R.
9
1996
Control effort considerations in the stabilization of uncertain dynamical systems. Zbl 0661.34055
Petersen, Ian R.; Barmish, B. Ross
9
1987
Robust \(H^{\infty}\) control in fast atomic force microscopy. Zbl 1327.93152
Chuang, Ning; Petersen, Ian R.; Pota, Hemanshu R.
9
2013
Robust decentralized stabilization of Markovian jump large-scale systems: A neighboring mode dependent control approach. Zbl 1358.93149
Ma, Shan; Xiong, Junlin; Ugrinovskii, Valery A.; Petersen, Ian R.
9
2013
Coherent robust \(H^\infty\) control of linear quantum systems with uncertainties in the Hamiltonian and coupling operators. Zbl 1372.93096
Xiang, Chengdi; Petersen, Ian R.; Dong, Daoyi
9
2017
A quasi-separation principle and Newton-like scheme for coherent quantum LQG control. Zbl 1277.49045
Vladimirov, Igor G.; Petersen, Ian R.
8
2013
Finite horizon robust state estimation for uncertain finite-alphabet hidden Markov models with conditional relative entropy constraints. Zbl 1157.93036
Xie, Li; Ugrinovskii, Valery A.; Petersen, Ian R.
8
2008
Complete results for a class of state feedback disturbance attenuation problems. Zbl 0693.93031
Petersen, Ian R.
8
1989
Robust stability conditions for feedback interconnections of distributed-parameter negative imaginary systems. Zbl 1387.93120
Khong, Sei Zhen; Petersen, Ian R.; Rantzer, Anders
8
2018
Guaranteed cost control of uncertain systems via Lur’e-Postnikov Lyapunov functions. Zbl 0939.93032
Ugrinovskii, Valery A.; Petersen, Ian R.
8
2000
Reaching a quantum consensus: master equations that generate symmetrization and synchronization. Zbl 1359.81073
Shi, Guodong; Dong, Daoyi; Petersen, Ian R.; Johansson, Karl Henrik
8
2016
Sampled-data design for robust control of a single qubit. Zbl 1369.93361
Dong, Daoyi; Petersen, Ian R.; Rabitz, Herschel
8
2013
Finite frequency negative imaginary systems. Zbl 1369.93453
Xiong, Junlin; Petersen, Ian R.; Lanzon, Alexander
8
2012
Robust guaranteed cost state estimation for nonlinear stochastic uncertain systems via an IQC approach. Zbl 1191.93131
Petersen, Ian R.
7
2009
Controllability of quantum systems with switching control. Zbl 1222.93111
Dong, Daoyi; Petersen, Ian R.
7
2011
Robust finite horizon minimax filtering for discrete-time stochastic uncertain systems. Zbl 1157.93531
Yoon, Myung-Gon; Ugrinovskii, Valery A.; Petersen, Ian R.
7
2004
Making nonlinear systems negative imaginary via state feedback. Zbl 1520.93407
Shi, Kanghong; Petersen, Ian R.; Vladimirov, Igor G.
3
2023
Learning and robust control in quantum technology. Zbl 1521.81100
Dong, Daoyi; Petersen, Ian R.
2
2023
Output feedback consensus for networked heterogeneous nonlinear negative-imaginary systems with free-body motion. Zbl 07746876
Shi, Kanghong; Petersen, Ian R.; Vladimirov, Igor G.
2
2023
A robust control approach to asymptotic optimality of the heavy ball method for optimization of quadratic functions. Zbl 1520.93117
Ugrinovskii, Valery; Petersen, Ian R.; Shames, Iman
1
2023
State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems. Zbl 1537.81070
Vladimirov, Igor G.; Petersen, Ian R.
1
2023
Synthesis of linear quantum systems to generate a steady thermal state. Zbl 1537.93229
Ma, Shan; Woolley, Matthew James; Petersen, Ian R.
2
2022
Guaranteed cost coherent control for quantum systems with non-quadratic perturbations in the system Hamiltonian. Zbl 1487.81105
Xiang, Chengdi; Petersen, Ian R.; Dong, Daoyi
1
2022
Moment dynamics and observer design for a class of quasilinear quantum stochastic systems. Zbl 1496.81075
Vladimirov, Igor G.; Petersen, Ian R.
1
2022
Stability analysis of quantum systems: a Lyapunov criterion and an invariance principle. Zbl 1505.93175
Emzir, Muhammad Fuady; Woolley, Matthew J.; Petersen, Ian R.
1
2022
Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems. Zbl 1461.81064
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
6
2021
Two-step feedback preparation of entanglement for qubit systems with time delay. Zbl 1461.93159
Liu, Yanan; Dong, Daoyi; Kuang, Sen; Petersen, Ian R.; Yonezawa, Hidehiro
4
2021
Quadratic-exponential functionals of Gaussian quantum processes. Zbl 1486.81143
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
3
2021
Two-stage estimation for quantum detector tomography: error analysis, numerical and experimental results. Zbl 1473.81040
Wang, Yuanlong; Yokoyama, Shota; Dong, Daoyi; Petersen, Ian R.; Huntington, Elanor H.; Yonezawa, Hidehiro
2
2021
On the capability of a class of quantum sensors. Zbl 1478.93130
Yu, Qi; Wang, Yuanlong; Dong, Daoyi; Petersen, Ian R.
1
2021
An improved quantum projection filter. Zbl 1431.81039
Gao, Qing; Zhang, Guofeng; Petersen, Ian R.
5
2020
Quantum Hamiltonian identifiability via a similarity transformation approach and beyond. Zbl 1536.93168
Wang, Yuanlong; Dong, Daoyi; Sone, Akira; Petersen, Ian R.; Yonezawa, Hidehiro; Cappellaro, Paola
5
2020
Structural decomposition for quantum two-level systems. Zbl 1436.93025
Zhang, Guofeng; Petersen, Ian R.
2
2020
Measurement-induced Boolean dynamics and controllability for closed quantum networks. Zbl 1441.93036
Qi, Hongsheng; Mu, Biqiang; Petersen, Ian R.; Shi, Guodong
2
2020
Static and dynamic coherent robust control for a class of uncertain quantum systems. Zbl 1453.93071
Xiang, Chengdi; Petersen, Ian R.; Dong, Daoyi
2
2020
Quantum tomography by regularized linear regressions. Zbl 1441.81020
Mu, Biqiang; Qi, Hongsheng; Petersen, Ian R.; Shi, Guodong
2
2020
Strictly negative imaginary state feedback control with a prescribed degree of stability. Zbl 1451.93121
Dannatt, James; Petersen, Ian R.; Lanzon, Alexander
2
2020
Design of a quantum projection filter. Zbl 1533.93801
Gao, Qing; Dong, Daoyi; Petersen, Ian R.; Ding, Steven X.
2
2020
Structural characterization of linear quantum systems with application to back-action evading measurement. Zbl 1533.93284
Zhang, Guofeng; Petersen, Ian R.; Li, Jinghao
1
2020
Switching formation strategy with the directed dynamic topology for collision avoidance of a multi-robot system in uncertain environments. Zbl 1542.93289
Tran, Vu Phi; Garratt, Matthew A.; Petersen, Ian R.
1
2020
An exponential quantum projection filter for open quantum systems. Zbl 1407.81112
Gao, Qing; Zhang, Guofeng; Petersen, Ian R.
6
2019
Quantum gate identification: error analysis, numerical results and optical experiment. Zbl 1414.81079
Wang, Yuanlong; Yin, Qi; Dong, Daoyi; Qi, Bo; Petersen, Ian R.; Hou, Zhibo; Yonezawa, Hidehiro; Xiang, Guo-Yong
6
2019
Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states. Zbl 1436.81080
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
4
2019
Lie-algebraic connections between two classes of risk-sensitive performance criteria for linear quantum stochastic systems. Zbl 07876438
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
3
2019
The Kalman decomposition for linear quantum systems. Zbl 1390.93184
Zhang, Guofeng; Grivopoulos, Symeon; Petersen, Ian R.; Gough, John E.
10
2018
A quantum Hamiltonian identification algorithm: computational complexity and error analysis. Zbl 1395.81092
Wang, Yuanlong; Dong, Daoyi; Qi, Bo; Zhang, Jun; Petersen, Ian R.; Yonezawa, Hidehiro
9
2018
Robust stability conditions for feedback interconnections of distributed-parameter negative imaginary systems. Zbl 1387.93120
Khong, Sei Zhen; Petersen, Ian R.; Rantzer, Anders
8
2018
An ultimate state bound for a class of linear systems with delay. Zbl 1378.93056
Shen, Tao; Petersen, Ian R.
4
2018
Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment. Zbl 1387.93146
Ma, Shan; Woolley, Matthew J.; Petersen, Ian R.; Yamamoto, Naoki
4
2018
On physical realizability of nonlinear quantum stochastic differential equations. Zbl 1402.93083
Emzir, Muhammad F.; Woolley, Matthew J.; Petersen, Ian R.
2
2018
A survey of methods used to control piezoelectric tube scanners in high-speed AFM imaging. Zbl 1397.93155
Rana, Md. Sohel; Pota, Hemanshu R.; Petersen, Ian R.
2
2018
A modified frequency domain condition for the physical realizability of linear quantum stochastic systems. Zbl 1390.93212
Sichani, Arash Kh.; Petersen, Ian R.
1
2018
Rapid Lyapunov control of finite-dimensional quantum systems. Zbl 1373.81227
Kuang, Sen; Dong, Daoyi; Petersen, Ian R.
18
2017
Coherent robust \(H^\infty\) control of linear quantum systems with uncertainties in the Hamiltonian and coupling operators. Zbl 1372.93096
Xiang, Chengdi; Petersen, Ian R.; Dong, Daoyi
9
2017
Performance analysis and coherent guaranteed cost control for uncertain quantum systems using small gain and Popov methods. Zbl 1366.93249
Xiang, Chengdi; Petersen, Ian R.; Dong, Daoyi
6
2017
Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel. Zbl 1353.93104
Ma, Shan; Petersen, Ian R.; Woolley, Matthew J.
4
2017
A quantum extended Kalman filter. Zbl 1367.81013
Emzir, Muhammad F.; Woolley, Matthew J.; Petersen, Ian R.
4
2017
Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process. Zbl 1362.81017
Ma, Shan; Woolley, Matthew J.; Petersen, Ian R.; Yamamoto, Naoki
4
2017
A numerical approach to optimal coherent quantum LQG controller design using gradient descent. Zbl 1375.93142
Sichani, Arash Kh.; Vladimirov, Igor G.; Petersen, Ian R.
4
2017
Quantum noises, physical realizability and coherent quantum feedback control. Zbl 1364.81145
Vuglar, Shanon L.; Petersen, Ian R.
3
2017
Nonlinear robust state feedback control system design for nonlinear uncertain systems. Zbl 1371.93069
Ur Rehman, Obaid; Petersen, Ian R.; Pota, Hemanshu
3
2017
Finite horizon \(H^{\infty}\) control for a class of sampled-data linear quantum systems. Zbl 1371.93125
Maalouf, Aline I.; Petersen, Ian R.
3
2017
Dark modes of quantum linear systems. Zbl 1373.81031
Pan, Yu; Dong, Daoyi; Petersen, Ian R.
2
2017
Consensus of quantum networks with directed interactions: fixed and switching structures. Zbl 1366.81190
Shi, Guodong; Fu, Shuangshuang; Petersen, Ian R.
2
2017
Coherent-classical estimation for linear quantum systems. Zbl 1376.93103
Roy, Shibdas; Petersen, Ian R.; Huntington, Elanor H.
2
2017
Quantum linear coherent controller synthesis: a linear fractional representation approach. Zbl 1375.93051
Sichani, Arash Kh.; Petersen, Ian R.
1
2017
Output feedback negative imaginary synthesis under structural constraints. Zbl 1343.93038
Xiong, Junlin; Lam, James; Petersen, Ian R.
22
2016
Fault tolerant quantum filtering and fault detection for quantum systems. Zbl 1343.93086
Gao, Qing; Dong, Daoyi; Petersen, Ian R.
10
2016
Reaching a quantum consensus: master equations that generate symmetrization and synchronization. Zbl 1359.81073
Shi, Guodong; Dong, Daoyi; Petersen, Ian R.; Johansson, Karl Henrik
8
2016
Negative imaginary lemmas for descriptor systems. Zbl 1359.93106
Xiong, Junlin; Lanzon, Alexander; Petersen, Ian R.
6
2016
Physical realizability and preservation of commutation and anticommutation relations for \(n\)-level quantum systems. Zbl 1336.81044
Duffaut Espinosa, Luis A.; Miao, Z.; Petersen, I. R.; Ugrinovskii, V.; James, M. R.
6
2016
Coherent observers for linear quantum stochastic systems. Zbl 1343.93020
Miao, Zibo; James, Matthew R.; Petersen, Ian R.
5
2016
The transfer function of generic linear quantum stochastic systems has a pure cascade realization. Zbl 1338.93344
Nurdin, Hendra I.; Grivopoulos, Symeon; Petersen, Ian R.
4
2016
Robust \(H_{\infty}\) estimation of uncertain linear quantum systems. Zbl 1351.93147
Roy, Shibdas; Petersen, Ian R.
3
2016
Realizing the dynamics of a non-Markovian quantum system by Markovian coupled oscillators: a Green’s function-based root locus approach. Zbl 1333.81209
Xue, Shibei; Petersen, Ian R.
3
2016
Linear threshold discrete-time recurrent neural networks: stability and globally attractive sets. Zbl 1359.39011
Shen, Tao; Petersen, Ian R.
2
2016
A robust continuous-time fixed-lag smoother for nonlinear uncertain systems. Zbl 1333.93238
Rehman, Obaid Ur; Petersen, Ian R.
2
2016
An improved method of ultimate bound computation for linear switched systems with bounded disturbances. Zbl 1339.93062
Shen, Tao; Petersen, Ian R.
1
2016
Fault tolerant filtering and fault detection for quantum systems driven by fields in single photon states. Zbl 1341.81011
Gao, Qing; Dong, Daoyi; Petersen, Ian R.; Rabitz, Herschel
1
2016
Robust output feedback consensus for networked negative-imaginary systems. Zbl 1360.93259
Wang, Jianan; Lanzon, Alexander; Petersen, Ian R.
25
2015
A generalized negative imaginary lemma and Riccati-based static state-feedback negative imaginary synthesis. Zbl 1310.93067
Mabrok, Mohamed; Kallapur, Abhijit G.; Petersen, Ian R.; Lanzon, Alexander
23
2015
Robust cooperative control of multiple heterogeneous negative-imaginary systems. Zbl 1327.93029
Wang, Jianan; Lanzon, Alexander; Petersen, Ian R.
22
2015
Quantum filtering for multiple diffusive and Poissonian measurements. Zbl 1327.81252
Emzir, Muhammad F.; Woolley, Matthew J.; Petersen, Ian R.
5
2015
State distributions and minimum relative entropy noise sequences in uncertain stochastic systems: the discrete-time case. Zbl 1339.93103
Vladimirov, Igor G.; Petersen, Ian R.
3
2015
System identification algorithm for negative imaginary systems. Zbl 1341.49046
Mabrok, Mohamed A.; Haggag, Mohamed A.; Petersen, Ian R.
3
2015
Effect of improved tracking for atomic force microscope on piezo nonlinear behavior. Zbl 1332.93131
Rana, Md. Sohel; Pota, Hemanshu R.; Petersen, Ian R.; Habibullah, Habib
3
2015
Witnessing the boundary between Markovian and non-Markovian quantum dynamics: a Green’s function approach. Zbl 1327.81249
Xue, Shibei; Wu, Rebing; Tarn, Tzyh-Jong; Petersen, Ian R.
3
2015
Using inverse nonlinearities in robust output feedback guaranteed cost control of nonlinear systems. Zbl 1360.93303
Ur Rehman, Obaid; Petersen, Ian R.
2
2015
Synthesis of linear coherent quantum control systems using a differential evolution algorithm. Zbl 1360.81189
Harno, Hendra G.; Petersen, Ian R.
2
2015
Robust adaptive quantum phase estimation. Zbl 1452.81027
Roy, Shibdas; Petersen, Ian R.; Huntington, Elanor H.
1
2015
Robust control of uncertain systems: classical results and recent developments. Zbl 1296.93048
Petersen, Ian R.; Tempo, Roberto
55
2014
Generalizing negative imaginary systems theory to include free body dynamics: control of highly resonant structures with free body motion. Zbl 1360.70011
Mabrok, Mohamed A.; Kallapur, Abhijit G.; Petersen, Ian R.; Lanzon, Alexander
42
2014
Optimal Lyapunov quantum control of two-level systems: convergence and extended techniques. Zbl 1331.81134
Wang, L. C.; Hou, S. C.; Yi, X. X.; Dong, Daoyi; Petersen, Ian R.
10
2014
Robust \(H^{\infty}\) control via a stable decentralized nonlinear output feedback controller. Zbl 1279.93045
Harno, Hendra G.; Petersen, Ian R.
3
2014
Finite horizon \(H^\infty\) control for a class of linear quantum measurement delayed systems: a dynamic game approach. Zbl 1295.93028
Maalouf, Aline I.; Petersen, Ian R.
3
2014
The design of model predictive control for an AFM and its impact on piezo nonlinearities. Zbl 1293.93305
Rana, Md. Sohel; Pota, Hemanshu R.; Petersen, Ian R.
2
2014
Decentralized state feedback robust \(H^{\infty }\) control using a differential evolution algorithm. Zbl 1279.93046
Harno, Hendra G.; Petersen, Ian R.
1
2014
Robust \(H^{\infty}\) control in fast atomic force microscopy. Zbl 1327.93152
Chuang, Ning; Petersen, Ian R.; Pota, Hemanshu R.
9
2013
Robust decentralized stabilization of Markovian jump large-scale systems: A neighboring mode dependent control approach. Zbl 1358.93149
Ma, Shan; Xiong, Junlin; Ugrinovskii, Valery A.; Petersen, Ian R.
9
2013
A quasi-separation principle and Newton-like scheme for coherent quantum LQG control. Zbl 1277.49045
Vladimirov, Igor G.; Petersen, Ian R.
8
2013
Sampled-data design for robust control of a single qubit. Zbl 1369.93361
Dong, Daoyi; Petersen, Ian R.; Rabitz, Herschel
8
2013
Enforcing negative imaginary dynamics on mathematical system models. Zbl 1278.93192
Mabrok, M. A.; Lanzon, A.; Kallapur, A. G.; Petersen, I. R.
3
2013
Discrete-time robust \(H^{\infty }\)control of a class of nonlinear uncertain systems. Zbl 1286.93061
Shaiju, A. J.; Petersen, Ian R.
3
2013
Singular perturbation approximations for a class of linear quantum systems. Zbl 1369.81018
Petersen, Ian R.
2
2013
A Kalman decomposition for possibly controllable uncertain linear systems. Zbl 1364.93116
Petersen, Ian R.
1
2013
Sliding mode control of two-level quantum systems. Zbl 1246.93027
Dong, Daoyi; Petersen, Ian R.
37
2012
A negative-imaginary lemma without minimality assumptions and robust state-feedback synthesis for uncertain negative-imaginary systems. Zbl 1255.93057
Song, Zhuoyue; Lanzon, Alexander; Patra, Sourav; Petersen, Ian R.
31
2012
Robust performance analysis for uncertain negative-imaginary systems. Zbl 1261.93042
Song, Zhuoyue; Lanzon, Alexander; Patra, Sourav; Petersen, Ian R.
19
2012
Robust stability of uncertain linear quantum systems. Zbl 1353.81073
Petersen, Ian R.; Ugrinovskii, Valery; James, Matthew R.
15
2012
A frequency domain condition for the physical realizability of linear quantum systems. Zbl 1369.81045
Shaiju, A. J.; Petersen, Ian R.
15
2012
On lossless negative imaginary systems. Zbl 1244.93140
Xiong, Junlin; Petersen, Ian R.; Lanzon, Alexander
12
2012
Uncertainty modeling and robust minimax LQR control of multivariable nonlinear systems with application to hypersonic flight. Zbl 1303.93072
Rehman, Obaid Ur; Fidan, Barış; Petersen, Ian R.
12
2012
Notes on sliding mode control of two-level quantum systems. Zbl 1255.93036
Dong, Daoyi; Petersen, Ian R.
10
2012
Time-varying \(H^{\infty}\) control for a class of linear quantum systems: a dynamic game approach. Zbl 1252.93048
Maalouf, A. I.; Petersen, I. R.
9
2012
Finite frequency negative imaginary systems. Zbl 1369.93453
Xiong, Junlin; Petersen, Ian R.; Lanzon, Alexander
8
2012
Sampled-data LQG control for a class of linear quantum systems. Zbl 1238.93058
Maalouf, Aline I.; Petersen, Ian R.
6
2012
...and 134 more Documents
all cited Publications top 5 cited Publications
all top 5

Cited by 2,920 Authors

136 Petersen, Ian Richard
36 Savkin, Andrey V.
27 Lam, James
26 Ugrinovskii, Valery A.
25 Shi, Peng
25 Xu, Shengyuan
24 Dong, Daoyi
24 Wang, Zidong
21 Lanzon, Alexander
21 Park, Juhyun (Jessie)
21 She, Jinhua
20 James, Matthew R.
19 Xie, Lihua
19 Zhang, Weihai
17 Boukas, El-Kébir
17 Kogan, Mark Mikhailovich
17 Wu, Min
17 Zhang, Qingling
16 Khlebnikov, Mikhail Vladimirovich
16 Su, Hongye
16 Zhao, Jun
15 Vladimirov, Igor G.
14 Gao, Huijun
14 Karimi, Hamid Reza
13 Feng, Gang
13 Haddad, Wassim Michael
13 Kuang, Sen
12 Mukaidani, Hiroaki
12 Sun, Ji Tao
11 Geromel, Jose Claudio
11 Liu, Xinzhi
11 Ma, Shuping
11 Matveev, Alexey S.
11 Patra, Sourav
11 Soh, Yeng Chai
11 Xiong, Junlin
11 Yang, Guanghong
11 Zhang, Guofeng
11 Zhou, Lan
11 Zou, Yun
10 Bernstein, Dennis S.
10 Chu, Jian
10 Cong, Shuang
10 Duan, Guangren
10 Shaked, Uri
10 Vũ Ngoc Phát
9 Bhowmick, Parijat
9 Duan, Zhisheng
9 Liu, Guoping
9 Mahmoud, Magdi Sadik Mostafa
9 Oya, Hidetoshi
9 Peres, Pedro L. D.
9 Tempo, Roberto
9 Wang, Long
9 Woolley, Matthew James
9 Wu, Ligang
9 Zasadzinski, Michel
8 Balandin, Dmitriĭ Vladimirovich
8 Cao, Jinde
8 Del Moral, Pierre
8 Feng, Zhiguang
8 He, Yong
8 Liu, Mei
8 Wu, Huaining
7 Chang, Xiaoheng
7 Chen, Tongwen
7 Chen, Ye-Hwa
7 Corless, Martin J.
7 de Souza, Carlos Emanuel
7 Garcia, Germain
7 Hansen, Lars Peter
7 Ho, Daniel W. C.
7 Lin, Hai
7 Liu, Fei
7 Liu, Yurong
7 Lu, Junguo
7 Moheimani, S. O. Reza
7 Pota, Hemanshu Roy
7 Qiu, Li
7 Shcherbakov, Pavel Sergeevich
7 Teo, Kok Lay
7 Xiang, Zhengrong
7 Zhang, Chenghui
7 Zheng, Wei Xing
7 Zhou, Bin
6 Alfi, Alireza
6 Alsaadi, Fuad Eid Salem
6 Bernussou, Jacques
6 Bishop, Adrian N.
6 Cao, S. G.
6 Charalambous, Charalambos D.
6 Duan, Wenyong
6 El Hajjaji, Ahmed
6 Glizer, Valery Y.
6 Hu, Jun
6 Huang, Lin
6 Kchaou, Mourad
6 Kosmidou, O. I.
6 Lan, Yonghong
6 Liu, Lili
...and 2,820 more Authors
all top 5

Cited in 187 Serials

353 Automatica
163 International Journal of Control
155 Systems & Control Letters
136 Journal of the Franklin Institute
121 International Journal of Robust and Nonlinear Control
69 Asian Journal of Control
64 International Journal of Systems Science
50 International Journal of Systems Science. Principles and Applications of Systems and Integration
49 Applied Mathematics and Computation
49 Mathematical Problems in Engineering
47 Automation and Remote Control
45 Journal of Optimization Theory and Applications
37 European Journal of Control
34 SIAM Journal on Control and Optimization
31 Optimal Control Applications & Methods
27 Nonlinear Analysis. Hybrid Systems
24 Circuits, Systems, and Signal Processing
22 International Journal of Adaptive Control and Signal Processing
21 Information Sciences
19 Fuzzy Sets and Systems
17 Nonlinear Dynamics
14 Abstract and Applied Analysis
14 Journal of Control Theory and Applications
13 Journal of Mathematical Analysis and Applications
13 Chaos, Solitons and Fractals
13 Kybernetika
13 MCSS. Mathematics of Control, Signals, and Systems
13 Linear Algebra and its Applications
12 Quantum Information Processing
11 IET Control Theory & Applications
10 Multidimensional Systems and Signal Processing
10 International Journal of Applied Mathematics and Computer Science
9 Computers & Mathematics with Applications
9 New Journal of Physics
9 Journal of Systems Science and Complexity
8 Journal of Computational and Applied Mathematics
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Applied Mathematical Modelling
8 Journal of Control Science and Engineering
7 Physics Letters. A
6 Journal of Mathematical Physics
6 Journal of Economic Theory
6 Mathematics and Computers in Simulation
6 Stochastic Analysis and Applications
6 Dynamics and Control
6 Journal of Vibration and Control
6 Journal of Zhejiang University. Science A
5 International Journal of Theoretical Physics
5 Signal Processing
5 Computational and Applied Mathematics
5 The ANZIAM Journal
5 Advances in Difference Equations
5 Journal of Physics A: Mathematical and Theoretical
5 Control Theory and Technology
4 Mathematical Methods in the Applied Sciences
4 Numerical Algorithms
4 Complexity
4 Journal of Inequalities and Applications
4 Discrete Dynamics in Nature and Society
4 Communications in Nonlinear Science and Numerical Simulation
4 Entropy
3 Operations Research
3 Applied Mathematics and Mechanics. (English Edition)
3 Optimization
3 Applied Mathematics Letters
3 Mathematical and Computer Modelling
3 Computational Mathematics and Modeling
3 The Annals of Applied Probability
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Chaos
3 Journal of Applied Mathematics
3 Numerical Algebra, Control and Optimization
2 Acta Mechanica
2 International Journal of General Systems
2 Journal of Statistical Physics
2 Mathematical Biosciences
2 Applied Mathematics and Optimization
2 Journal of Econometrics
2 Mathematics of Operations Research
2 International Journal of Approximate Reasoning
2 Queueing Systems
2 Neural Networks
2 Journal of Intelligent & Robotic Systems
2 Annals of Physics
2 Stochastic Processes and their Applications
2 Systems Analysis, Modelling Simulation
2 SIAM Journal on Scientific Computing
2 Journal of Mathematical Sciences (New York)
2 Filomat
2 Open Systems & Information Dynamics
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of Dynamical and Control Systems
2 Lobachevskii Journal of Mathematics
2 International Game Theory Review
2 Journal of Zhejiang University. Science
2 Journal of Applied Mathematics and Computing
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Arabian Journal for Science and Engineering
2 Annalen der Physik
2 International Journal of Engineering Mathematics
...and 87 more Serials
all top 5

Cited in 43 Fields

1,847 Systems theory; control (93-XX)
168 Quantum theory (81-XX)
160 Calculus of variations and optimal control; optimization (49-XX)
151 Ordinary differential equations (34-XX)
140 Probability theory and stochastic processes (60-XX)
111 Linear and multilinear algebra; matrix theory (15-XX)
111 Operations research, mathematical programming (90-XX)
52 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
49 Information and communication theory, circuits (94-XX)
44 Numerical analysis (65-XX)
42 Computer science (68-XX)
31 Biology and other natural sciences (92-XX)
29 Statistics (62-XX)
27 Mechanics of particles and systems (70-XX)
24 Dynamical systems and ergodic theory (37-XX)
21 Partial differential equations (35-XX)
17 Real functions (26-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Operator theory (47-XX)
13 Difference and functional equations (39-XX)
8 Functional analysis (46-XX)
6 Combinatorics (05-XX)
4 History and biography (01-XX)
4 Functions of a complex variable (30-XX)
4 Mechanics of deformable solids (74-XX)
4 Fluid mechanics (76-XX)
4 Optics, electromagnetic theory (78-XX)
2 Mathematical logic and foundations (03-XX)
2 Nonassociative rings and algebras (17-XX)
2 Differential geometry (53-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)

Citations by Year