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Exponential stability of neutral stochastic delay differential equation with delay-dependent impulses

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  • Fu, Xiaozheng
  • Zhu, Quanxin

Abstract

In this paper, we mainly consider exponential stability (ES) for a type of neutral stochastic delay differential equations with delay-dependent impulses (NSDDEWDI). By means of the average dwell time (ADT) condition, a new sufficient criterion for ES is given. The infinitesimal operator of Lyapunov functions is controlled by two time-variant coefficients. Furthermore, these new conditions are calculated through an example so as to verify the validity of our results.

Suggested Citation

  • Fu, Xiaozheng & Zhu, Quanxin, 2020. "Exponential stability of neutral stochastic delay differential equation with delay-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    • Handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301156
    DOI: 10.1016/j.amc.2020.125146
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    References listed on IDEAS

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    1. Jinjin Liu & Kanjian Zhang & Haikun Wei, 2016. "Robust stability of positive switched systems with dwell time," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2553-2562, August.
    2. Yu Lin & Yu Zhang, 2018. "Exponential stability of impulsive discrete-time systems with infinite delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(16), pages 3272-3283, December.
    3. Hao Liu & Peng Shi & Hamid Reza Karimi & Mohammed Chadli, 2016. "Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1433-1444, April.
    4. J. Baštinec & H. Demchenko & J. Diblík & D. Ya. Khusainov, 2018. "Exponential Stability of Linear Discrete Systems with Multiple Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-7, August.
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    Cited by:

    1. Liu, Zhiguang & Zhu, Quanxin, 2023. "Ultimate boundedness of impulsive stochastic delay differential equations with delayed impulses," Statistics & Probability Letters, Elsevier, vol. 199(C).
    2. Liu, Jiamin & Li, Zhao-Yan & Deng, Feiqi, 2021. "Asymptotic behavior analysis of Markovian switching neutral-type stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    3. Peng, Dongxue & Li, Xiaodi & Rakkiyappan, R. & Ding, Yanhui, 2021. "Stabilization of stochastic delayed systems: Event-triggered impulsive control," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    4. Xu, Xiao & Wang, Li & Du, Zhenbin & Kao, Yonggui, 2023. "H∞ Sampled-Data Control for Uncertain Fuzzy Systems under Markovian Jump and FBm," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    5. Cao, Wenping & Zhu, Quanxin, 2022. "Stability of stochastic nonlinear delay systems with delayed impulses," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    6. Cao, Wenping & Zhu, Quanxin, 2021. "Stability analysis of neutral stochastic delay differential equations via the vector Lyapunov function method," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    7. Yu, Peilin & Deng, Feiqi & Sun, Yuanyuan & Wan, Fangzhe, 2022. "Stability analysis of impulsive stochastic delayed Cohen-Grossberg neural networks driven by Lévy noise," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    8. Yunfeng Li & Pei Cheng & Zheng Wu, 2022. "Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations," Mathematics, MDPI, vol. 10(21), pages 1-17, November.
    9. Sabermahani, Sedigheh & Ordokhani, Yadollah, 2021. "General Lagrange-hybrid functions and numerical solution of differential equations containing piecewise constant delays with bibliometric analysis," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    10. Chunxiang Li & Fangshu Hui & Fangfei Li, 2023. "Stability of Differential Systems with Impulsive Effects," Mathematics, MDPI, vol. 11(20), pages 1-23, October.

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