Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations

DOI10.1016/S0167-6911(99)00044-4zbMath0948.93051MaRDI QIDQ1960649

Lars Grüne

Publication date: 12 January 2000

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

zbMATH Keywords

robustnessinput-to-state stabilitystabilizing feedback control

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Adaptive or robust stabilization (93D21)

Related Items (3)

Exponential input-to-state stability of delay Korteweg-de Vries-Burgers equations ⋮ Remarks on input-to-state stability of collocated systems with saturated feedback ⋮ Asymptotic stability equals exponential stability, and ISS equals finite energy gain -- if you twist your eyes.

Cites Work

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• Minimal and maximal Lyapunov exponents of bilinear control systems
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• Numerical Stabilization of Bilinear Control Systems
• The Lyapunov spectrum of families of time-varying matrices
• Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity
• New characterizations of input-to-state stability
• Smooth stabilization implies coprime factorization

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