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p-moment stability of stochastic impulsive differential equations and its application in impulsive control

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Abstract

The exponential p-moment stability of stochastic impulsive differential equations is addressed. A new theorem to ensure the p-moment stability is established for the trivial solution of the stochastic impulsive differential system. As an application of the theorem proposed, the problem of controlling chaos of Lorenz system which is excited by parameter white-noise excitation is considered using impulsive control method. Finally, numerical simulation results are given to verify the feasibility of our approach.

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Authors and Affiliations

  1. Department of Applied Math, Northwestern Polytechnical University, Xi’an, 710072, China

    Wei Xu, YuJun Niu & ZhongKui Sun

  2. Department of mathematics, Fushan University, Fushan, 528000, China

    HaiWu Rong

Authors
  1. Wei Xu
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  2. YuJun Niu
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  3. HaiWu Rong
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  4. ZhongKui Sun
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Corresponding author

Correspondence to YuJun Niu.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 10772046)

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Xu, W., Niu, Y., Rong, H. et al. p-moment stability of stochastic impulsive differential equations and its application in impulsive control. Sci. China Ser. E-Technol. Sci. 52, 782–786 (2009). https://doi.org/10.1007/s11431-009-0055-y

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  • DOI: https://doi.org/10.1007/s11431-009-0055-y

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