A Converse Lyapunov Theorem for Nonuniform in Time Global Asymptotic Stability and Its Application to Feedback Stabilization

A Converse Lyapunov Theorem for Nonuniform in Time Global Asymptotic Stability and Its Application to Feedback Stabilization

Lyapunov-like characterizations for the concepts of nonuniform in time robust global asymptotic stability and input-to-state stability for time-varying systems are established. The main result of our work enables us to derive (1) necessary and sufficient conditions for feedback stabilization for aff...

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Veröffentlicht in:SIAM journal on control and optimization 2003-01, Vol.42 (3), p.936-965
Hauptverfasser: Karafyllis, I., Tsinias, J.
Format: Artikel
Sprache:eng
Schlagworte:
Control theory
Equilibrium
Hypotheses
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Zusammenfassung:Lyapunov-like characterizations for the concepts of nonuniform in time robust global asymptotic stability and input-to-state stability for time-varying systems are established. The main result of our work enables us to derive (1) necessary and sufficient conditions for feedback stabilization for affine in the control systems and (2) sufficient conditions for the propagation of the input-to-state stability property through integrators.
ISSN:0363-0129
1095-7138
DOI:10.1137/S0363012901392967