Further stability results for random nonlinear systems with stochastic impulses |
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| Authors: | Likang Feng Weihai Zhang Zhichun Yang Ju H Park |
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| Institution: | 1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, Shandong Province, 266590, China;2. School of Mathematical College, Chongqing Normal University, Chongqing 401331 China;3. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China;2. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;1. School of Control and Computer Engineering, North China Electric Power University, 102206 Beijing, China;2. School of Transportation Science and Engineering, Beihang University, 100091 Beijing, China;1. Science and Technology on Aerospace Flight Dynamics Laboratory, School of Astronautics, Northwestern Polytechnical University, Xi’an, 710072, China;2. Research and Development Institute of Northwestern Polytechnical University in Shenzhen, Shenzhen, 518057, China;1. School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, China;2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China |
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| Abstract: | In this paper, the global asymptotic stability in probability and the exponential stability in th moment are investigated for random nonlinear systems with stochastic impulses, whose occurrence is determined by a Poisson process. The stochastic disturbances in the impulsive random nonlinear systems are driven by second-order processes, which have bounded mean power. Firstly, the improved Lyapunov approaches for the global asymptotic stability in probability and the exponential stability in th moment are established for impulsive random nonlinear systems based on the uniformly asymptotically stable function. Secondly, the improved results are further extended to the impulsive random nonlinear systems with Markovian switching. Finally, two examples are provided to verify the feasibility and effectiveness of the obtained results. |
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