Stability analysis of stochastic switching singular systems with jumps |
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| Institution: | 1. School of Electrical and Electronic Engineering, Shandong University of Technology, Zibo 255000, Shandong, PR China;2. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;3. Development Research Center, China Datang Corporation Renewable Energy Science and Technology Research Institute, Beijing 100040, PR China;1. The College of Information Science and Technology, Bohai University, Jinzhou\n121013, Liaoning, China;2. The College of Engineering, Bohai University, Jinzhou 121013, Liaoning, China;3. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong |
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| Abstract: | This paper deals with the stability problem of a class of stochastic switching singular systems with jumps, where all the continuous subsystems can be unstable. By introducing multiple time-varying discretized Lyapunov functions and designing novel switching signals via mode-dependent dwell times, sufficient conditions ensuring mean square and almost sure stabilities of the considered systems are obtained. On the basis of these findings, some existing results in the literature are further generalized. We finally provide a numerical example to verify the applicability of the proposed theoretical results. |
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