A Riccati equation approach to maximizing the stability radius of a linear system by state feedback under structured stochastic Lipschitzian perturbations

DOI10.1016/0167-6911(93)90052-8zbMath0794.93024OpenAlexW1986835382MaRDI QIDQ1319491

A.el Bouthouri, Anthony J. Pritchard

Publication date: 12 April 1994

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

Full work available at URL: https://doi.org/10.1016/0167-6911(93)90052-8

zbMATH Keywords

state feedbackstability radiuslinear state space systemLipschitzian structured stochastic perturbations

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Feedback control (93B52) Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05)

Related Items (5)

Unnamed Item ⋮ Unnamed Item ⋮ Stabilityradii of some discrete-time systems with independent random parameters ⋮ Stability radii of some time-varying linear stochastic differential systems ⋮ State-feedback control of systems with multiplicative noise via linear matrix inequalities

Cites Work

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• A course in \(H_{\infty}\) control theory
• Stability radii of linear systems
• Stability of stochastic partial differential equation
• Stability radii of linear systems with respect to stochastic perturbations
• Feedback stabilizability for stochastic systems with state and control dependent noise
• Equivalence of Lp stability and exponential stability for a class of nonlinear semigroups
• The optimal linear-quadratic time-invariant regulator with cheap control
• Dynamic Programming Approach to Stochastic Evolution Equations
• Algebraic Riccati equation and symplectic algebra
• Riccati equation approach to maximizing the complex stability radius by state feedback

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