On input-to-state stability of impulsive stochastic systems |
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| Authors: | Fengqi Yao Li Qiu Hao Shen |
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| Institution: | 1. School of Electrical and Information Engineering, Anhui University of Technology, Maanshan 243000, China;2. College of Mechatronics and Control Engineering, Shen Zhen University, Shenzhen 518060, China;3. Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea |
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| Abstract: | This paper is concerned with the input-to-state stability (ISS) of impulsive stochastic systems. First, appropriate concepts of stochastic input-to-state stability (SISS) and pth moment input-to-state stability (p-ISS) for the mentioned systems are introduced. Then, we prove that impulsive stochastic systems possessing SISS-Lyapunov functions are uniformly SISS and p-ISS over a certain class of impulse sequences. As a byproduct, a criterion on the uniform global asymptotic stability in probability for the system in isolation (without inputs) is also derived. Finally, we provide a numerical example to illustrate our results. |
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