Found 89 Documents (Results 1–89)
New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems. (English) Zbl 1440.93051
The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation. (English) Zbl 1478.15025
Anisotropic norm computation for descriptor systems with nonzero-mean input signals. (English. Russian original) Zbl 1383.93099
J. Comput. Syst. Sci. Int. 54, No. 5, 678-690 (2015); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2015, No. 5, 10-23 (2015).
Selected applications of convex optimization. (English) Zbl 1321.90005
Springer Optimization and Its Applications 103. Beijing: Tsinghua University Press; Berlin: Springer (ISBN 978-7-302-39029-9/pbk; 978-3-662-46355-0/pbk; 978-3-662-46356-7/ebook). x, 140 p. (2015).
Reviewer: Rembert Reemtsen (Cottbus)
Perturbation theory for linearly perturbed algebraic Riccati equations. (English) Zbl 1303.15019
Reviewer: A. Arvanitoyeorgos (Patras)
Improved upper bounds for the solution of the continuous algebraic Riccati matrix equation. (English) Zbl 1334.15046
MSC:
15A24
New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation. (English) Zbl 1293.93380
MSC:
93C05
New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation. (English) Zbl 1255.15011
Computational method for solving a stochastic linear-quadratic control problem given an unsolvable stochastic algebraic Riccati equation. (English) Zbl 1252.93134
Formulas for calculating the extremum ranks and inertias of a four-term quadratic matrix-valued function and their applications. (English) Zbl 1252.15026
Reviewer: Süleyman Güler (Aydin)
Improved methods to solve the stochastic Nash games for weakly coupled large-scale systems iteratively. (English) Zbl 1264.91018
Upper solution bounds of the continuous coupled algebraic Riccati matrix equation. (English) Zbl 1245.93059
MSC:
93C15
60J75
New solution bounds for the continuous algebraic Riccati equation. (English) Zbl 1259.15021
Reviewer: Jaroslav Zemánek (Warszawa)
Model order reduction with preservation of passivity, non-expansivity and Markov moments. (English) Zbl 1217.15025
Reviewer: Martín Argerami (Regina)
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. (English) Zbl 1207.15015
Matrix bounds for the solution of the continuous algebraic Riccati equation. (English) Zbl 1210.15016
Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations. (English) Zbl 1187.15023
New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation. (English) Zbl 1176.15030
Non-fragile decentralized \(H_{\infty }\) controller design for uncertain linear systems. (English) Zbl 1232.93008
On the matrix equation \(X = Q - S^*X^{\dagger}S\). (English) Zbl 1122.65040
Reviewer: Frank Uhlig (Auburn)
Operator pencils of the second order and linear fractional relations. (English) Zbl 1148.47028
Ukr. Mat. Visn. 3, No. 4, 467-503 (2006) and in Ukr. Math. Bull. 3, No. 4, 447-483 (2006).
Observer design for complex systems in the presence of uncertainties, nonlinearities and distributed delays. (English) Zbl 1140.93301
Numerical comparison of methods for continuous-time \({\mathcal H}_\infty\) optimization. (English) Zbl 1105.93029
MSC:
93B36
93B40
Fixed-order controller design for linear time-invariant descriptor systems: a BMI approach. (English) Zbl 1062.93034
Reviewer: Tadeusz Kaczorek (Warszawa)
Matrix continued fractions, convergence and applications. (Fractions continues de matrices, convergence et applications.) (French) Zbl 1062.15016
Robust \(H^{\infty}\) nonlinear modeling and control via uncertain fuzzy systems. (English) Zbl 1053.93025
Robust \(H_{\infty}\) state estimation for linear state-delayed and measurement-delayed systems with uncertainties. (English) Zbl 1056.93007
Reviewer: Vasile Dragan (Bucureşti)
A generalization of the bounded real lemma. (English) Zbl 1032.15013
Reviewer: Martin Argerami (Regina)
Indefinite stochastic linear quadratic control with Markovian jumps in infinite time horizon. (English) Zbl 1031.93155
Reviewer: Chengxun Wu (Shanghai)
Filtering on nonlinear time-delay stochastic systems. (English) Zbl 1010.93099
Reviewer: Vjatscheslav Vasiliev (Tomsk)
A class of robustness problems in matrix analysis. (English) Zbl 1029.15005
Alpay, Daniel et al., Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 134, 337-383 (2002).
Robust almost disturbance decoupling problem for a class of uncertain time-delay systems. (English) Zbl 1034.93041
Reviewer: Alexandra Rodkina (Kingston/Jamaica)
Stable controller synthesis for linear time-invariant systems. (English) Zbl 1030.93015
Reviewer: Didier Henrion (Toulouse)
Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations. (English) Zbl 1006.93056
The geometric mean, matrices, metrics, and more. (English) Zbl 1040.15016
Reviewer: Frank Uhlig (Auburn)
Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities. (English) Zbl 1023.93070
Reviewer: Alexandra Rodkina (Mona)
Upper bounds on the solution of coupled algebraic Riccati equation. (English) Zbl 1006.93035
Reviewer: Petko Hr.Petkov (Sofia)
Non-fragile \(H_\infty\) control for linear systems with multiplicative controller gain variations. (English) Zbl 0990.93031
Reviewer: V.Dragan (Bucureşti)
Lower bounds on the solution of coupled algebraic Riccati equation. (English) Zbl 0990.93043
Reviewer: Petko Hr.Petkov (Sofia)
Control of uncertain state-delay systems: Guaranteed cost approach. (English) Zbl 0981.93031
Reviewer: L.Maniar (Marrakesh)
Lower and upper bounds of the solution for the discrete-time algebraic Riccati equation. (Chinese. English summary) Zbl 1013.65037
Well-posedness and attainability of indefinite stochastic linear quadratic control in infinite time horizon. (English) Zbl 0985.93060
Linear matrix inequalities, Riccati equations, and indefinite stochastic linear quadratic controls. (English) Zbl 0981.93080
Reviewer: Ryszard Gessing (Gliwice)
Output tracking problem for systems with input saturations via nonlinear integrating actions. (English) Zbl 0957.93031
Reviewer: Inge Troch (Wien)
Robust \(H_2\)-control for discrete-time Markovian jump linear systems. (English) Zbl 1026.93055
Reviewer: H.Pragarauskas (Vilnius)
Robust performance of a class of uncertain systems. (English) Zbl 0940.93025
Reviewer: Alexandr Vasil’ev (Odessa)
Piecewise-linear robust control of systems with input constraints. (English) Zbl 0955.93039
Reviewer: E.De Santis (L’Aquila)
Robust stabilization of uncertain systems with time-varying multistate delay. (English) Zbl 0956.93057
The asymptotic stability of nonlinear (Lur’e) systems with multiple slope restrictions. (English) Zbl 0951.93064
MSC:
93D20
Robust multi-objective feedback design with linear guaranteed-cost bounds. (English) Zbl 0931.49022
MSC:
49N10
Static output feedback stabilization: An ILMI approach. (English) Zbl 0937.93039
Reviewer: A.Bacciotti (Torino)
Disturbance attenuation and trajectory tracking via a reduced-order output feedback controller for robot manipulators. (English) Zbl 0934.93016
Reviewer: William J.Satzer jun.(St.Paul)
The discrete algebraic Riccati equation and linear matrix inequality. (English) Zbl 0899.93023
Reviewer: C.Vârsan (Bucureşti)
Spectral factorization with imaginary-axis zeros. (English) Zbl 0868.15013
Reviewer: Y.Kuo (Knoxville)
The design of strictly proper \(H^\infty\) controllers for general generalized plants. (Chinese. English summary) Zbl 0926.93015
Reviewer: Shi Ying-Guang (Beijing)
Numerically reliable computation of optimal performance in singular \(H_ \infty\) control. (English) Zbl 0889.93022
Reviewer: C.Vârsan (Bucureşti)
Robust performance of uncertain systems by output feedback. (English) Zbl 0891.93036
Reviewer: Xu Chengxian (Xian)
Residual bounds of approximate solutions of the algebraic Riccati equation. (English) Zbl 0878.15007
Tight bounds for the trace of a matrix product. (English) Zbl 0873.93022
Reviewer: A.Vaněček (Praha)
Continuity properties of solutions to \(H_{2}\) and \(H_{\infty}\) Riccati equations. (English) Zbl 0866.93035
MSC:
93B36
Sensitivity analysis of the algebraic Riccati equations. (English) Zbl 0861.65041
Reviewer: P.Narain (Bombay)
On bounds for the solution of the Riccati equation for discrete-time control systems. (English) Zbl 0857.93003
Leondes, Cornelius T. (ed.), Digital control and signal processing systems and techniques. San Diego, CA: Academic Press. Control Dyn. Syst., Adv. Theory Appl. 78, 275-311 (1996).
Reviewer: V.Dragan (Bucureşti)
The algebraic Riccati equation and inequality for systems with uncontrollable modes on the imaginary axis. (English) Zbl 0837.15013
Reviewer: Costică Moroşanu (Iaşi)
The general nonstrict algebraic Riccati inequality. (English) Zbl 0822.15006
Reviewer: K.H.Kim (Montgomery)
The solution set of the algebraic Riccati equation and the algebraic Riccati inequality. (English) Zbl 0731.15008
Reviewer: M.F.Silva Leite (Coimbra)
Several consequences of an inertia theorem. (English) Zbl 0712.15021
Reviewer: M.E.Sezer
Bounds on eigenvalues of matrix products with an application to the algebraic Riccati equation. (English) Zbl 0702.93045
A matrix inequality. (English) Zbl 0661.93018
Matrix inequalities applicable to estimating solution sizes of Riccati and Lyapunov equations. (English) Zbl 0657.93012
Comments on “A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equation”. (English) Zbl 0662.15013
Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems. (English) Zbl 0637.15008
Reviewer: V.S.Zajačkovski
A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equations. (English) Zbl 0617.15012
Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation. (English) Zbl 0616.15013
Reviewer: H.D.Fischer
Bounds for the eigenvalues of the solution matrix of the algebraic Riccati equation. (English) Zbl 0576.15010
Reviewer: H.D.Fischer
Comments on ”A note on the discrete Lyapunov and Riccati matrix equations”. (English) Zbl 0573.15009
Extreme points of Riccati inequalities. (English) Zbl 0552.15011
Reviewer: Petko Hr. Petkov
On the geometry of the set of solutions of a discrete-time quadratic matrix inequality. (English) Zbl 0537.93036
Multivariable system theory and design. (English) Zbl 0475.93005
International Series on Systems and Control, Vol. 4. Oxford etc.: Pergamon Press. XII, 374 p. £19.50; $ 45.00 (H/C); £9.50; $ 20.00 (1982).
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