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Almost sure polynomial stability and stabilization of stochastic differential systems with impulsive effects

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  • Liu, Shuning
  • Lv, Guangying

Abstract

In this paper, we first consider the almost surely and pth moment polynomial stability of stochastic differential equations with impulsive effects. Sufficient conditions are given to obtain the polynomial stability. Then the stabilization of stochastic differential systems is studied, which shows that impulse can make stochastic differential equations stable.

Suggested Citation

  • Liu, Shuning & Lv, Guangying, 2024. "Almost sure polynomial stability and stabilization of stochastic differential systems with impulsive effects," Statistics & Probability Letters, Elsevier, vol. 206(C).
    • Handle: RePEc:eee:stapro:v:206:y:2024:i:c:s0167715223002043
    DOI: 10.1016/j.spl.2023.109980
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    References listed on IDEAS

    as
    1. Xiuwei Yin & Wentao Xu & Guangjun Shen, 2021. "Stability of stochastic differential equations driven by the time-changed Lévy process with impulsive effects," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(11), pages 2338-2357, August.
    2. 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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