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Stability of switched nonlinear time-delay systems with stable and unstable subsystems
Institution:1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China;2. School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159, China;1. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China;2. Key Lab for IOT and Information Fusion Technology of Zhejiang, Hangzhou Dianzi University, Hangzhou 310018, China;3. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;4. College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua 321004, China;1. School of Mathematical Sciences, University of Jinan, Jinan 250022, China;2. College of Information Science and Engineering, Shandong Agricultural University, Tai’an 271018, China
Abstract:This paper investigates the stability of switched nonlinear time-delay systems with stable and unstable subsystems. Several stability criteria are presented by resorting to novel inequality technique and average dwell time approach, which relax the assumptions that all subsystem matrices are commutative pairwise and Hurwitz stable. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical results.
Keywords:Stability  Switched delay system  Average dwell time  Delay Gronwall–Bellman inequality
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