Asymptotical p-Moment Stability of Stochastic Impulsive Differential Equations and Its Application in Impulsive Control |
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Authors: | NIU Yu-Jun XU Wei LI Hong-Wu |
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Institution: | 1.Department of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, China
;2.Department of Applied Mathematics, Northwestern Polytechnical;University, Xi'an 710127, China |
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Abstract: | In this paper, the asymptotical p-moment stability of stochastic impulsivedifferential equations is studied, and a comparison theory to ensure the asymptotical p-moment stability for trivial solution of this system is established, from which we can find out whether a stochastic impulsive differential system is stable just from a deterministic comparison system. As an application of this theory, we control the chaos of stochastic Chen system using impulsive method, and a stable region is deduced too. Finally, numericalsimulations verify the feasibility of our method. |
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Keywords: | p-moment stability impulsive white-noise stochastic differential equations |
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