Strong stability of quasi-affine transforms of contraction semigroups and the steady-state Riccati equation

DOI10.1007/BF00938443zbMath0545.93057MaRDI QIDQ798288

Nhan Levan

Publication date: 1985

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

strong stabilityquasi-affine transforms of contraction semigroupssteady-state Riccati equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Groups and semigroups of linear operators (47D03) Stability theory for smooth dynamical systems (37C75) Inner product spaces and their generalizations, Hilbert spaces (46C99)

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Cites Work

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• Dynamical systems and evolution equations. Theory and applications
• Stability theory for ordinary differential equations
• Dynamical systems and stability
• Extending a theorem of A. M. Liapunov to Hilbert space
• The linear stabilization problem in Hilbert space
• Approximate Stabilizability via the Algebraic Riccati Equation
• A Note on Weak Stabilizability of Contraction Semigroups
• Strong Stabilizability of Linear Contractive Control Systems on Hilbert Space
• On the Applicability of Lyapunov’s Theorem in Hilbert Space

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