Converse Lyapunov Theorem of Input-to-State Stability for Time-delay Systems

DOI10.3724/SP.J.1004.2010.01131zbMath1240.93308MaRDI QIDQ3169723

Qiao Zhu, Guang-Da Hu

Publication date: 29 September 2011

Published in: Acta Automatica Sinica (Search for Journal in Brave)

zbMATH Keywords

input-to-state stabilitytime-delay systemconverse Lyapunov theorem

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Input-output approaches in control theory (93D25)

Related Items (5)

Lyapunov-Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form ⋮ On Sontag's formula for the input-to-state practical stabilization of retarded control-affine systems ⋮ A Small-Gain Method for the Design of Decentralized Stabilizing Controllers for Interconnected Systems with Delays ⋮ Lyapunov characterizations on input-to-state stability of nonlinear systems with infinite delays ⋮ Direct and converse Lyapunov theorems for functional difference systems

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