Stochastic input-to-state stability of random impulsive nonlinear systems |
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| Authors: | Zenghui Hu Zhe Yang Xiaowu Mu |
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| Institution: | School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China |
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| Abstract: | In this paper, the stochastic input-to-state stability is investigated for random impulsive nonlinear systems, in which impulses happen at random moments. Employing Lyapunov-based approach, sufficient conditions for the stochastic input-to-state stability are established based on the connection between the properties of system and impulsive intervals. Two classes of impulsive systems are considered: (1) the systems with single jump map; (2) the systems with multiple jump maps. Finally, some examples are provided to illustrate the effectiveness of the proposed results. |
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| Keywords: | Corresponding author |
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