Regular linear systems and their reciprocals: applications to Riccati equations

DOI10.1016/S0167-6911(02)00302-XzbMath1157.93345MaRDI QIDQ2503491

Ruth F. Curtain

Publication date: 21 September 2006

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

zbMATH Keywords

Lyapunov equationRiccati equationStabilityInfinite-dimensional linear systemRegular linear system

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Algebraic methods (93B25)

Related Items (9)

Normalized doubly coprime factorizations for infinite-dimensional linear systems ⋮ Admissibility of retarded diagonal systems with one-dimensional input space ⋮ On the Carleson measure criterion in linear systems theory ⋮ Lur'e feedback systems with both unbounded control and observation: well-posedness and stability using nonlinear semigroups ⋮ New Riccati equations for well-posed linear systems ⋮ Robustly stabilizing controllers with respect to left-coprime factor perturbations for infinite-dimensional linear systems ⋮ Admissibility of diagonal state-delayed systems with a one-dimensional input space ⋮ On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations ⋮ The generalised singular perturbation approximation for bounded real and positive real control systems

Cites Work

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• Necessary and sufficient conditions for strong stability of distributed parameter systems
• Riccati equations for strongly stabilizable bounded linear systems
• Regular linear systems with feedback
• Optimal control of stable weakly regular linear systems
• New results on the operator Carleson measure criterion
• Conditions for the equivalence of internal and external stability for distributed parameter systems
• Quadratic Optimal Control of Well-Posed Linear Systems
• Quadratic optimal control of stable well-posed linear systems
• Strongly Stabilizable Distributed Parameter Systems
• On the Spectral-Lyapunov Approach to Parametric Optimization of Distributed-Parameter Systems

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