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论文类型：期刊论文

发表时间：2015-11-01

发表刊物：AUTOMATICA

收录刊物：SCIE、EI、Scopus

卷号：61

页面范围：126-133

ISSN号：0005-1098

关键字：Switched nonlinear system; Nonlinear delay system; Input-to-state stability; Lyapunov-Krasovskii functional; Asynchronous switching

摘要：This paper investigates the input-to-state stability for switched nonlinear input delay systems under asynchronous switching. Suppose a feedback control law has been designed such that the nominal closed-loop system is exponentially stable for a certain switching signal, and suppose further that a corresponding Lyapunov function for the nominal closed-loop system is available. In the presence of input delay and asynchronous switching, the system may not be stable under the same switching signal. For this case, we explicitly construct Lyapunov-Krasovskii functionals based on the knowledge of the known Lyapunov function. Then, by using the constructed Lyapunov-Krasovskii functionals, a new switching delay-dependent switching signal satisfying the new mode-dependent average dwell time conditions is provided to guarantee the input-to-state stability of the system with respect to the disturbance under a certain input delay bound. Two examples are given to illustrate the effectiveness of the proposed theory. (C) 2015 Elsevier Ltd. All rights reserved.