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Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics
Authors:Xi-Ming Sun  Wei Wang
Affiliation:1. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, PR China;1. Northeastern University, State Key Laboratory of Synthetical Automation for Process Industries, Shenyang 110819, China;2. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China;1. School of Mathematical Sciences, Anhui University, Hefei 230601, China;2. Systems Engineering Institute, South China University of Technology, Guangzhou 510640, China;3. School of Electrical Engineering & Information, Anhui University of Technology, Ma’anshan 243000, China;1. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China;2. Department of Engineering and Applied Science, Sophia University, Tokyo, Japan;1. School of Civil Engineering and School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, 611756, PR China;2. Department of Electrical Engineering, Polytechnique Montréal, P.O. Box 6079, Station Centre-Ville, Montreal, QC, Canada H3T 1J4;1. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210049, China;2. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China
Abstract:This paper considers integral input-to-state stability (iISS) for a class of hybrid time-delay systems. Discrete dynamics includes impulsive and switching signals, and continuous dynamics is not necessarily stable. Based on multiple Lyapunov–Krasovskii functionals, a dwell-time bound is explicitly given to guarantee iISS of the hybrid delayed system. Compared with existing results on related problems, the obtained stability criteria can be applied to a larger class of hybrid delayed systems. Moreover, the obtained dwell-time bound is less conservative than existing ones. At last, an example related to networked control systems (NCSs) is provided to illustrate the effectiveness of the proposed result.
Keywords:
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