Decentralized stability for switched nonlinear large-scale systems with interval time-varying delays in interconnections |
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| Institution: | 1. Institute of Automation, Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, PR China;2. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, PR China;1. School of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430205, China;2. School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China;3. School of Automation, China University of Geosciences, Wuhan 430074, China |
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| Abstract: | In this paper, the problem of decentralized stability of switched nonlinear large-scale systems with time-varying delays in interconnections is studied. The time delays are assumed to be any continuous functions belonging to a given interval. By constructing a set of new Lyapunov–Krasovskii functionals, which are mainly based on the information of the lower and upper delay bounds, a new delay-dependent sufficient condition for designing switching law of exponential stability is established in terms of linear matrix inequalities (LMIs). The developed method using new inequalities for lower bounding cross terms eliminate the need for overbounding and provide larger values of the admissible delay bound. Numerical examples are given to illustrate the effectiveness of the new theory. |
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| Keywords: | Large-scale systems Switching rule Decentralized stability Interval time-varying delay Nonlinear perturbation Lyapunov function Linear matrix inequalities |
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