Novel LMI-based stability and stabilization analysis on impulsive switched system with time delays |
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| Authors: | Bo Wang Peng Shi Jun Wang Yongduan Song |
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| Institution: | 1. School of Electrical and Information Engineering, Xihua University, Chengdu 610096, China;2. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China;3. Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom;4. School of Engineering and Science, Victoria University, Melbourne, Vic 8001, Australia;5. School of Automation, Chongqing University, Chongqing 400044, China;1. Department of Mathematics, Tongji University, Shanghai 200092, PR China;2. College of Mathematics and Statistics, Chuxiong Normal University, Chuxiong 675000, Yunnan Province, PR China;1. Department of Mathematics, National Institute of Technology – Deemed University, Tiruchirappalli 620 015, Tamil Nadu, India;2. Department of Mathematics, Gandhigram Rural Institute – Deemed University, Gandhigram 624 302, Tamil Nadu, India;1. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China;2. Sichuan Artificial Intelligence Research Institute, Yibin 644000, China;3. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;4. Department of Electrical and Computer Engineering, The University of Auckland, Auckland 1142, New Zealand;1. School of Computer and Biomedical Engineering, Università degli Studi Magna Græcia di Catanzaro, Viale Europa, Campus di Germaneto, 88100 Catanzaro, Italy;2. Dipartimento di Ingegneria Elettrica e Tecnologie dell’Informazione, Università degli Studi di Napoli Federico II, Napoli, Italy;1. Key Laboratory for Advanced Process Control of Light Industry of the Ministry of Education, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China;2. The State Key Laboratory of Digital Manufacturing Equipment and Technology, PR China;3. Department of Electrical and Computer Engineering, University of Auckland, Private Bag 92019, Auckland, New Zealand |
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| Abstract: | This paper is concerned with the problems of stability and stabilization of impulsive switched system with time delays. First, a novel Razumikhin function is constructed; then based on LMI approach and optimization techniques, we derive our theoretical result with good properties; subsequently, we extend our results to the case with perturbations. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed techniques. |
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