Found 193 Documents (Results 1–100)
Gaussian semigroups of operators in the space of Borel functions on a separable Hilbert space. (Russian. English summary) Zbl 07896828
Optimal convergence rates for Galerkin approximation of operator Riccati equations. (English) Zbl 1533.65219
Slow decay and turnpike for infinite-horizon hyperbolic linear quadratic problems. (English) Zbl 1495.49020
The convergence analysis of an accelerated iteration for solving algebraic Riccati equations. (English) Zbl 1489.65061
Reviewer: Alain Brillard (Riedisheim)
Trace formulas for the modified Mathieu equation. (English) Zbl 1515.47060
Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 427-443 (2021).
Fixed point theory and the existence of two positive periodic solutions of Riccati’s equation. (English) Zbl 1488.34247
Integral operator Riccati equations arising in stochastic Volterra control problems. (English) Zbl 1477.45004
Factorizing Lamé operator. (English) Zbl 07479639
Boundary optimal control design for a system of parabolic-hyperbolic PDEs coupled with an ODE. (English) Zbl 1453.93112
Diagonalization of indefinite saddle point forms. (English) Zbl 1446.47002
Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 373-400 (2020).
On Darboux transformations of Bessel functions. (Russian. English summary) Zbl 1463.34035
A free boundary problem associated with the isoperimetric inequality. (English) Zbl 1446.30055
Reviewer: Heinrich Begehr (Berlin)
Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data. (English) Zbl 1476.65151
Singular value decay of operator-valued differential Lyapunov and Riccati equations. (English) Zbl 06950098
A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes. (English) Zbl 1370.93315
Oscillation constants for second-order nonlinear dynamic equations of Euler type on time scales. (English) Zbl 1386.34146
Reviewer: Wengui Yang (Sanmenxia)
Innovative integrators for computing the optimal state in LQR problems. (English) Zbl 1368.65095
Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 269-276 (2017).
Solutions of Riemann-Weber type half-linear differential equation. (English) Zbl 1424.34001
Reviewer: Pavel Rehak (Brno)
On the solvability of a system of forward-backward linear equations with unbounded operator coefficients. (English. Russian original) Zbl 1360.34127
Math. Notes 100, No. 5, 747-750 (2016); translation from Mat. Zametki 100, No. 5, 762-765 (2016).
Alternative proof of the a priori \(\tan \theta\) theorem. (English. Russian original) Zbl 1338.81203
Theor. Math. Phys. 186, No. 1, 83-92 (2016); translation from Teor. Mat. Fiz. 186, No. 1, 101-112 (2016).
A Kamenev-type oscillation result for a linear \((1 + \alpha)\)-order fractional differential equation. (English) Zbl 1390.34016
A max-plus dual space fundamental solution for a class of operator differential Riccati equations. (English) Zbl 1347.49005
Well posedness of operator valued backward stochastic Riccati equations in infinite dimensional spaces. (English) Zbl 1307.93456
Convergence analysis for splitting of the abstract differential Riccati equation. (English) Zbl 1405.65082
Solution of the Lyapunov matrix equations. (Russian. English summary) Zbl 1313.34043
MSC:
34A34
Complex structures in algebra, topology and differential equations. (English) Zbl 1338.17001
Reviewer: Ahmed Hegazi (Mansoura)
Linear operator inequality and null controllability with vanishing energy for unbounded control systems. (English) Zbl 1262.93004
Hyers-Ulam stability of the linear differential operator with nonconstant coefficients. (English) Zbl 1368.34075
Solvability of the \(H ^{\infty }\) algebraic Riccati equation in Banach algebras. (English) Zbl 1247.46040
Existence of a periodic solution for continuous and discrete periodic second-order equations with variable potentials. (English) Zbl 1368.34053
Riccati equations on noncommutative Banach algebras. (English) Zbl 1262.46035
SIAM J. Control Optim. 49, No. 6, 2542-2557 (2011); corrections ibid. 51, No. 4, 3351-3354 (2013).
Reviewer: Camillo Trapani (Palermo)
Canonical form of the evolution operator of a time-dependent Hamiltonian in the three level system. (English) Zbl 1223.81096
Feedback stabilization of a boundary layer equation. I: Homogeneous state equations. (English) Zbl 1243.93088
Group-invariant solutions of fractional differential equations. (English) Zbl 1217.37066
Tenreiro Machado, J. A. (ed.) et al., Nonlinear science and complexity. Based on the 2nd conference on nonlinear science and complexity, NSC ’08, Porto, Portugal, July 28–31, 2008. Berlin: Springer (ISBN 978-90-481-9883-2/hbk; 978-90-481-9884-9/ebook). 51-59 (2011).
Reviewer: Chuangan Hu (Cupertino)
Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle. (English) Zbl 1196.33006
Reviewer: Alicia Cachafeiro López (Vigo)
Multimodal admittance method in waveguides and singularity behavior at high frequencies. (English) Zbl 1192.78027
On the solution of a class of the reduced wave equation and the Riccati differential equation. (English) Zbl 1202.34010
Reviewer: Tihomir Gyulov (Ruse)
A novel Riccati sequence. (English) Zbl 1362.34005
Wave splitting of Maxwell’s equations with anisotropic heterogeneous constitutive relations. (English) Zbl 1192.35174
Reviewer: Lluís Miquel García Raffi (València)
On a direct study of an operator Riccati equation appearing in boundary value problems factorization. (English) Zbl 1154.35334
The Riccati map in random Schrödinger and random matrix theory. (English) Zbl 1162.34069
Pinsky, Mark (ed.) et al., Probability, geometry and integrable systems. For Henry McKean’s seventy-fifth birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-89527-9/hbk). Mathematical Sciences Research Institute Publications 55, 77-101 (2008).
Reviewer: Makiko Nisio (Kobe)
Conditionally oscillatory half-linear differential equations. (English) Zbl 1199.34169
Reviewer: Pavel Rehák (Brno)
Study of the initial value problems appearing in a method of factorization of second-order elliptic boundary value problems. (English) Zbl 1165.35346
Planar nonautonomous polynomial equations: the Riccati equation. (English) Zbl 1147.34035
Reviewer: Roman Srzednicki (Kraków)
Exponentially dichotomous operators and applications. (English) Zbl 1158.47001
Operator Theory: Advances and Applications 182. Basel: Birkhäuser (ISBN 978-3-7643-8731-0/pbk). xv, 224 p. (2008).
Reviewer: Birgit Jacob (Delft)
An alternative exact solution method for the reduced wave equation with a variable coefficient. (English) Zbl 1165.35305
Hopf algebras in dynamical systems theory. (English) Zbl 1178.37023
Reviewer: Eugene Kryachko (Liège)
Davies-Harrell representations, Otelbaev’s inequalities and properties of solutions of Riccati equations. (English) Zbl 1134.34029
Reviewer: Mihail Megan (Timişoara)
Oscillation criteria for second-order damped nonlinear differential equations with \(p\)-Laplacian. (English) Zbl 1108.34027
MSC:
34C10
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).
Normalized doubly coprime factorizations for infinite-dimensional linear systems. (English) Zbl 1105.93052
Growth conditions for oscillation of nonlinear differential equations with \(p\)-Laplacian. (English) Zbl 1085.34029
Reviewer: Zuzana Došlá (Brno)
MSC:
34C10
Factorization of second-order elliptic boundary value problems by dynamic programming. (English) Zbl 1114.35059
Optimal control and differential Riccati equations under singular estimates for \(e^{At}B\) in the absence of analyticity. (English) Zbl 1066.93031
Sivasundaram, S., Advances in dynamics and control. Boca Raton, FL: Chapman & Hall (ISBN 0-415-30852-6/hbk). Nonlinear Systems in Aviation Aerospace Aeronautics Astronautics 2, 271-307 (2004).
Reviewer: Vadim Komkov (Florida)
Unbounded observers and Riccati operators in nonreflexive spaces. (English) Zbl 1044.93013
Desch, Wolfgang (ed.) et al., Control and estimation of distributed parameter systems. 8th international conference in Maria Trost (Austria), July 15–21, 2001. Selected papers. Basel: Birkhäuser (ISBN 3-7643-7004-1/hbk). ISNM, Int. Ser. Numer. Math. 143, 121-136 (2003).
Reviewer: Mihail Megan (Timişoara)
Section determinants of unitary operators and the operator-valued Riccati differential equation. (English) Zbl 1024.34048
Reviewer: Etienne Emmrich (Berlin)
Considerations on the controllability of stochastic linear heat equations. (English) Zbl 1030.93005
Da Prato, Giuseppe (ed.) et al., Stochastic partial differential equations and applications. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 227, 39-51 (2002).
Reviewer: M.Nisio (Osaka)
Concave equations in Banach cones. (English) Zbl 1054.47047
Reviewer: Zhilin Yang (Qingdao)
Existence of solutions of two generalized Riccati operator equations and their representation. (English) Zbl 1022.93014
Reviewer: Hector O.Fattorini (Los Angeles)
Linear operator inequalities for strongly stable weakly regular linear systems. (English) Zbl 1114.93029
Stabilization of linear continuous time-varying systems with state delays in Hilbert spaces. (English) Zbl 1020.93017
Reviewer: Jong Yeoul Park (Pusan)
Wave field decomposition in anisotropic fluids: a spectral theory approach. (English) Zbl 1135.35358
Finite time linear quadratic control for weakly regular linear systems. (English) Zbl 1031.93106
Reviewer: Wiesław Kotarski (Sosnowiec)
Adaptive-critic based optimal neuro control synthesis for distributed parameter systems. (English) Zbl 1012.93025
Reviewer: A.V.Balakrishnan (Los Angeles)
Control theory for partial differential equations: continuous and approximation theories. 2: Abstract hyperbolic-like systems over a finite time horizon. (English) Zbl 0961.93003
Encyclopedia of Mathematics and Its Applications. 75. Cambridge: Cambridge University Press. xxi, p. 645-1067 (2000).
Reviewer: A.Akutowicz (Berlin)
The standard \(H_\infty\) problem in systems with a single input delay. (English) Zbl 0978.93026
Reviewer: L.Maniar (Marrakesh)
State space theory for abstract Volterra operators. (English) Zbl 0957.45021
Corduneanu, C. (ed.) et al., Volterra equations and applications. Proceedings of the Volterra centennial symposium, University of Texas, Arlington, TX, USA, May 23-25, 1996. London: Gordon and Breach Science Publishers. Stab. Control Theory Methods Appl. 10, 111-123 (2000).
Control theory for partial differential equations: continuous and approximation theories. 1: Abstract parabolic systems. (English) Zbl 0942.93001
Encyclopedia of Mathematics and Its Applications 74. Cambridge: Cambridge University Press. xxi, 644 p. (2000).
Reviewer: A.Akutowicz (Berlin)
MSC:
93-02
49-02
93C20
35K50
93B28
49N10
49K20
49J20
35K90
74K10
74K20
74F05
93B36
74M05
93B40
74H15
Robust boundary control for linear time-varying infinite-dimensional systems. (English) Zbl 0959.93041
Reviewer: Stephan Paul Banks (Sheffield)
On concepts of controllability for deterministic and stochastic systems. (English) Zbl 0940.93013
Reviewer: J.Klamka (Katowice)
Generalized Riccati theory and robust control. A Popov function approach. (English) Zbl 0915.34024
Chichester: John Wiley & Sons. xii, 380 p. (1999).
Reviewer: V.V.Strygin (Voronezh)
Exactly solvable hydrogen-like potentials and the factorization method. (English) Zbl 0934.34074
Reviewer: Manfred Möller (Johannesburg)
Riccati equations arising in acoustic structure interactions with curved walls. (English) Zbl 0911.93045
Reviewer: Z.Denkowski (Kraków)
Integral control of infinite-dimensional linear systems subject to input saturation. (English) Zbl 0913.93031
Reviewer: I.Valuşescu (Bucureşti)
The fixed-point principle and nonlocal solvability theorems for essentially nonlinear differential equations. (Russian. English summary) Zbl 1059.47507
Bounded and periodic solutions of a Riccati operator equation with unbounded operator. (English. Russian original) Zbl 0912.34055
Differ. Equations 33, No. 3, 305-311 (1997); translation from Differ. Uravn. 33, No. 3, 309-315 (1997).
Reviewer: V.Chernyatin (Szczecin)
Equivalent conditions for the solvability of nonstandard LQ-problems with applications to P. D. E. s with continuous input-output solution map. (English) Zbl 0906.47036
A singular control approach to highly damped second-order abstract equations and applications. (English) Zbl 0881.49022
Reviewer: H.Zwart (Enschede)
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