期刊
IEEE TRANSACTIONS ON CYBERNETICS
卷 43, 期 6, 页码 2261-2265出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2013.2240679
关键词
Asynchronous switching; piecewise Lyapunov-Krasovskii functional; switched nonlinear systems; time delays
类别
资金
- Chinese National Fundamental Research Program [2009CB320601]
- National Key Basic Research Program, China [2012CB215202]
- 111 Project [B12018]
- National Natural Science Foundation of China [61233002, 61174058, 61174073]
This paper is concerned with analyzing input-to-state stability (ISS) for a class of switched nonlinear systems with time delays under asynchronous switching. Due to the existence of switching delay, the switching of the controller does not coincide accurately with the switching of the system. When the subsystem is stabilized with the matched controller, the subsystem is ISS; otherwise, the subsystem may be not ISS. We establish efficient condition, in terms of an upper bound on the switching delay, and in terms of a lower bound on the matched time intervals for the subsystem and the controller, which ensures ISS for the whole switched nonlinear system. Finally, an illustrative example is presented to demonstrate the efficacy of the results.
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