Strong Stabilizability of Linear Contractive Control Systems on Hilbert Space

DOI10.1137/0317003zbMath0401.93039OpenAlexW2004370824MaRDI QIDQ4186175

L. Rigby, Nhan Levan

Publication date: 1979

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0317003

zbMATH Keywords

Control SystemsHilbert SpaceLinear ContractiveStrong Stabilizability

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25)

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Estimation of the reachable set for the problem of vibrating Kirchhoff plate ⋮ Controllability, *-controllability and stabilizability ⋮ Invariance of asymptotic stability of perturbed linear systems on Hilbert space ⋮ Stability of a strongly stabilizing control for systems with a skew-adjoint operator in Hilbert space ⋮ Feedback stabilization for perturbed linear systems^* ⋮ Remarks on the feedback stabilization of system affine in control ⋮ Stability of Individual Elements Under One-Parameter Semigroups ⋮ Feedback stabilization for distributed parameter systems of parabolic type. III ⋮ Strong stability of quasi-affine transforms of contraction semigroups and the steady-state Riccati equation ⋮ Feedback stabilization for distributed parameter systems of parabolic type. II ⋮ Stabilizability of two classes of contraction semigroups ⋮ Distributed parameter control of nonlinear flexible structures with linear finite-dimensional controllers

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