Input‐to‐state stability of nonlinear stochastic time‐varying systems with impulsive effects |
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| Authors: | Xiaotai Wu Peng Shi Yang Tang Wenbing Zhang |
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| Affiliation: | 1. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, China;2. College of Automation, Harbin Engineering University, Harbin, China;3. College of Engineering and Science, Victoria University, Melbourne, Australia;4. School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, SA, China;5. Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, China;6. Department of Mathematics, Yangzhou University, Yangzhou, Jiangsu, China |
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| Abstract: | This paper considers the input‐to‐state stability, integral‐ISS, and stochastic‐ISS for impulsive nonlinear stochastic systems. The Lyapunov function considered in this paper is indefinite, that is, the rate coefficient of the Lyapunov function is time‐varying, which can be positive or negative along time evolution. Lyapunov‐based sufficient conditions are established for ensuring ISS of impulsive nonlinear stochastic systems. Three examples involving one from networked control systems are provided to illustrate the effectiveness of theoretical results obtained. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear stochastic systems impulsive systems input‐to‐state stability time‐varying systems |
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