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Exponential stability in terms of two measures of impulsive stochastic functional differential systems via comparison principle

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  • Yao, Fengqi
  • Deng, Feiqi

Abstract

In this paper, based on like-Lyapunov functions and comparison principles, several criteria on the exponential stability in terms of two measures of impulsive stochastic functional differential systems with infinite or finite delays are obtained. The results improve and complement those in earlier publications. Two illustrative examples are also discussed to show the effectiveness and generality of our theorems.

Suggested Citation

  • Yao, Fengqi & Deng, Feiqi, 2012. "Exponential stability in terms of two measures of impulsive stochastic functional differential systems via comparison principle," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1151-1159.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:6:p:1151-1159
    DOI: 10.1016/j.spl.2012.01.005
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    References listed on IDEAS

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    1. Peng, Shiguo & Jia, Baoguo, 2010. "Some criteria on pth moment stability of impulsive stochastic functional differential equations," Statistics & Probability Letters, Elsevier, vol. 80(13-14), pages 1085-1092, July.
    2. Sakthivel, R. & Luo, J., 2009. "Asymptotic stability of nonlinear impulsive stochastic differential equations," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1219-1223, May.
    3. Cheng, Pei & Deng, Feiqi, 2010. "Global exponential stability of impulsive stochastic functional differential systems," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1854-1862, December.
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    Cited by:

    1. Wei, Tengda & Lin, Ping & Zhu, Quanxin & Yao, Qi, 2021. "Instability of impulsive stochastic systems with application to image encryption," Applied Mathematics and Computation, Elsevier, vol. 402(C).

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