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Indexed by:Journal Papers

Date of Publication:2014-04-01

Journal:AUTOMATICA

Included Journals:SCIE、EI

Volume:50

Issue:4

Page Number:1249-1253

ISSN No.:0005-1098

Key Words:Switched nonlinear systems; Lyapunov-Krasovskii functionals; Input delay; Input-to-state stability

Abstract:This paper studies the stability issue for switched nonlinear systems with input delay and disturbance. It is assumed that for the nominal system an exponential stabilizing controller is predesigned such that the switched system is stable under a certain switching signal, and a piecewise Lyapunov function for the corresponding closed-loop system is known. However, in the presence of input delay and disturbance, the system may be unstable under the same switching signal. For this case, a new Lyapunov-Krasovskii functional is firstly constructed based on the known Lyapunov function. Then, by employing this new functional, a new switching signal satisfying the new average dwell time conditions is constructed to guarantee the input-to-state stability of the system under a certain delay bound. The bound on the average dwell time is closely related to the bound on the input delay. Finally, numerical examples are given to illustrate the effectiveness of the proposed theory. (C) 2014 Elsevier Ltd. All rights reserved.