Continuity properties of solutions to \(H_{2}\) and \(H_{\infty}\) Riccati equations

DOI10.1016/0167-6911(95)00053-4zbMath0866.93035OpenAlexW2180923730MaRDI QIDQ1351421

Anton A. Stoorvogel, Ali Saberi

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-6911(95)00053-4

zbMATH Keywords

discontinuitiesalgebraic Riccati equations\(H_ \infty\) optimal controlnon-left-invertibilityquadratic matrix inequalities

Mathematics Subject Classification ID

(H^infty)-control (93B36)

Related Items (4)

Existence of minimum upcrossing controllers ⋮ Identification of ARX systems with non-stationary inputs -- asymptotic analysis with application to adaptive input design ⋮ Solvability of the \(H ^{\infty }\) algebraic Riccati equation in Banach algebras ⋮ Discrete-time H2 and H∞ low-gain theory

Cites Work

• Unnamed Item
• \(H^ \infty\) - optimal control and related minimax design problems. A dynamic game approach
• The singular \(H_ 2\) control problem
• Families of linear-quadratic problems: Continuity properties
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• The H_∞ control problem with zeros on the boundary of the stability domain

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