Comparison theorems for infinite-dimensional Riccati equations

DOI10.1016/0167-6911(90)90009-JzbMath0716.93021OpenAlexW1990525542MaRDI QIDQ753751

Ruth F. Curtain, Leiba Rodman

Publication date: 1990

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(90)90009-j

zbMATH Keywords

algebraic Riccati equationComparison theoremsexponentially stabilizable

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10) Control/observation systems in abstract spaces (93C25)

Related Items (15)

Necessary and sufficient conditions for J-spectral factorizations with a J-Lossless property for infinite-dimensional systems in continuous and discrete time ⋮ On the nonnegative self-adjoint solutions of the operator Riccati equation for infinite dimensional systems ⋮ A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems ⋮ On the Newton-Kleinman method for strongly stabilizable infinite-dimensional systems ⋮ A Kleinman-Newton construction of the maximal solution of the infinite-dimensional control Riccati equation ⋮ Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations ⋮ The Kalman-Yakubovich-Popov Lemma for Pritchard-Salamon systems ⋮ Homogeneous Riccati equations versus quadratic inequalities ⋮ Generalized Riccati equations arising in stochastic games ⋮ The strict bounded real lemma in infinite dimensions ⋮ The Riccati algebraic equation in a locally \(C^*\)-algebra ⋮ Solving the infinite-dimensional discrete-time algebraic Riccati equation using the extended symplectic pencil ⋮ Time-varying discrete Riccati equation: Some monotonicity results ⋮ The infinite-time admissibility of observation operators and operator Lyapunov equations ⋮ A survey of nonsymmetric Riccati equations

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Spectral properties of finite-dimensional perturbed linear semigroups
• Monotonicity of maximal solutions of algebraic Riccati equations
• Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
• Controllability properties of perturbed distributed parameter systems
• Perturbation theory for linear operators.
• Extending a theorem of A. M. Liapunov to Hilbert space
• A linear control problem in an abstract Hilbert space
• Linear state-space systems in infinite-dimensional space: the role and characterization of joint stabilizability/detectability
• Equivalence of input-output stability and exponential stability for infinite-dimensional systems
• Stability and Stabilizability of Infinite-Dimensional Systems
• The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Algebraic Riccati equation and symplectic algebra
• The Quadratic Criterion for Distributed Systems

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