Impulsive control of stochastic system under the sense of stochastic asymptotical stability |
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Authors: | Niu Yu-Jun and Ma Ge |
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Affiliation: | Department of Applied Math, Nanyang Institute of Technology, Nanyang 473004, China;Department of Applied Math, Nanyang Institute of Technology, Nanyang 473004, China |
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Abstract: | This paper studies the stochastic asymptotical stability of stochastic impulsive differential equations, and establishes a comparison theory to ensure the trivial solution's stochastic asymptotical stability. From the comparison theory, it can find out whether the stochastic impulsive differential system is stable just by studying the stability of a deterministic comparison system. As a general application of this theory, it controls the chaos of stochastic Lü system using impulsive control method, and numerical simulations are employed to verify the feasibility of this method. |
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Keywords: | stochastic impulsive system stochastic asymptotical stability comparison theory impulsive control |
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