Existence of solutions of two generalized riccati operator equations and their representation

DOI10.1080/00036810108840940zbMATH Open1022.93014OpenAlexW2094651993MaRDI QIDQ3152140

Mingqing Xiao

Publication date: 22 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840940

zbMATH Keywords

differential gamesRiccati equationsevolution equationscritical values\(H^\infty\) controllevel of disturbance attenuation

Mathematics Subject Classification ID

(H^infty)-control (93B36) Nonlinear differential equations in abstract spaces (34G20) Operator-theoretic methods (93B28) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Cites Work

• A linear quadratic optimal control problem with disturbances -- an algebraic Riccati equation and differential games approach
• The Standard $H_\infty $ Problem and the Maximum Principle: The General Linear Case
• The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
• The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces

Related Items (1)

Riccati equation theory for Pritchard-Salamon systems: a Popov function approach

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