BIBO stability analysis for delay switched systems with nonlinear perturbation. (English) Zbl 1271.93134

Wei, Jincheng; Shi, Peng; Karimi, Hamid Reza; Wang, Bo

Abstr. Appl. Anal. 2013, Article ID 738653, 8 p. (2013).

Summary: The problem of Bounded-Input–Bounded-Output (BIBO) stability is investigated for a class of delay switched systems with mixed time-varying discrete and constant neutral delays and nonlinear perturbations. Based on the Lyapunov-Krasovskii functional theory, new BIBO stabilization criteria are established in terms of delay-dependent linear matrix inequalities. The numerical simulation is carried out to demonstrate the effectiveness of the results obtained in the paper.

MSC:

93D25	Input-output approaches in control theory
93B30	System identification

Keywords:

bounded-input–bounded-output (BIBO) stability; delay switched systems; nonlinear perturbations; Lyapunov-Krasovskii functional theory; delay-dependent linear matrix inequalitie

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