Stabilization of bilinear control systems in Hilbert space with nonquadratic feedback

DOI10.1007/s12215-009-0021-3zbMath1190.93081OpenAlexW2067409947MaRDI QIDQ2379911

Larbi Berrahmoune

Publication date: 23 March 2010

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-009-0021-3

zbMATH Keywords

bilinear systemcontrol saturationstabilization of feedback

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Abstract parabolic equations (35K90) Control/observation systems in abstract spaces (93C25)

Related Items (7)

Regional gradient stabilization of semilinear distributed systems ⋮ Global asymptotic stabilization of autonomous bilinear complex systems ⋮ Exponential stabilization of semilinear parabolic systems ⋮ Exponential stabilization of distributed semilinear systems by optimal control ⋮ Unnamed Item ⋮ Stabilization of unbounded bilinear control systems in Hilbert space ⋮ Output stabilization of semilinear parabolic systems with bounded feedback

Cites Work

• Stabilization of linear control systems in Hilbert spaces with nonlinear feedback
• Feedback stabilization of a linear control system in Hilbert space with an a priori bounded control
• Feedback stabilization of distributed semilinear control systems
• Remarks on the feedback stabilization of system affine in control
• Continuous nonlinear perturbations of linear accretive operators in Banach spaces
• Asymptotic behavior of nonlinear contraction semigroups
• A Note on Weak Stabilizability of Contraction Semigroups
• Feedback stabilization for a class of distributed semilinear control systems
• A general result on the stabilization of linear systems using bounded controls

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