State-space formulae for all stabilizing controllers that satisfy an $H_{\infty}$-norm bound and relations to risk sensitivity

DOI10.1016/0167-6911(88)90055-2zbMath0671.93029OpenAlexW2106929622MaRDI QIDQ1119528

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0167-6911(88)90055-2

zbMATH Keywords

algebraic Riccati equations time-invariant linear controller controllers closed-loop transfer function optimal internally stabilizing controllers risk sensitive optimal state- space parametrization

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Operator-theoretic methods (93B28) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Cites Work

State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity