Perturbation bounds for coupled matrix Riccati equations

DOI10.1016/S0024-3795(02)00416-0zbMath1017.15006MaRDI QIDQ1864973

Vera Angelova, Vassilios A. Tsachouridis, Michael M.Konstantinov, Da-Wei Gu, Petko Hr. Petkov

Publication date: 23 March 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

perturbation analysiscondition numbers\(H_{2}/H_{\infty }\) controlcoupled algebraic matrix Riccati equationsLyapunov majorants

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) (H^infty)-control (93B36) Matrix equations and identities (15A24)

Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
• Perturbation bounds and characterisation of the solution of the associated algebraic Riccati equation
• On properties of Sylvester and Lyapunov operators
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• Anti‐windup compensator synthesis for systems with saturation actuators
• A multivariable extension of the Tsypkin criterion using a Lyapunov-function approach
• Two-dimensional measures of reachability for linear time-invariant systems

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