Mean-square integral input-to-state stability of nonlinear impulsive semi-Markov jump delay systems |
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| Authors: | Yu Lin Yu Zhang Anthony Bloch |
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| Institution: | 1. Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China;2. School of Mathematical Sciences, Tongji University, Shanghai 200092, China;3. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA;1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, China;3. School of Electronics and Information, Nanjing Vocational College of Information Technology, Nanjing 210046, China;1. School of Engineering, Qufu Normal University, Rizhao 276826, China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China;3. College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China;4. School of Science, Harbin Institute of Technology, Weihai 264209, China;1. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China;2. Space Control and Inertial Technology Research Center, Harbin Institute of Technolog, Harbin 150001, China;3. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, Shandong, China |
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| Abstract: | In this paper, the problem of mean-square integral input-to-state stability of nonlinear impulsive semi-Markov jump delay systems is investigated. By using stochastic Lyapunov functions together with Razumikhin technique, some sufficient conditions for mean-square integral input-to-state stability for a class of nonlinear impulsive semi-Markov jump delay systems are developed. In particular, the results obtained generalize and complement some recent literature. Finally, some numerical examples are given to show the effectiveness and advantages of the proposed techniques. |
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