Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations

DOI10.1016/S0167-6911(99)00024-9zbMath0948.93030MaRDI QIDQ1960460

Jin-Chuan Hou, Ming-Chu Gao

Publication date: 12 January 2000

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

zbMATH Keywords

discrete-time linear systemsinvariant subspacesalgebraic Riccati equationsinfinite-dimensional spacescontinuous time linear systemsisolated nonnegative solutions

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Comparison theorems for infinite-dimensional Riccati equations
• Necessary conditions for exponential stabilizability of distributed parameter systems with infinite dimensional unbounded feedback
• Spectral properties of finite-dimensional perturbed linear semigroups
• Nonnegative solutions of algebraic Riccati equations
• Isolated semidefinite solutions of the continuous-time algebraic Riccati equation
• On the nonnegative self-adjoint solutions of the operator Riccati equation for infinite dimensional systems

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