Finite-time stability of impulsive stochastic functional differential systems with bounded delays

被引：0
|
作者：
Wang G.-Q. [1 ]
Yao F.-Q. [1 ]
机构：
[1] School of Electrical and Information Engineering, Anhui University of Technology, Anhui, Maanshan
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2023年 / 40卷 / 09期
关键词：
bounded delays; finite-time contractive stability; finite-time stability; impulsive stochastic functional differential systems; Lyapunov functions; Razumikhin techniques;
D O I：
10.7641/CTA.2022.20204
中图分类号：
学科分类号：
摘要：
This paper is concerned with the finite-time stability and finite-time contractive stability analysis of impulsive stochastic functional differential systems with bounded delays. Based on the Lyapunov functions, Razumikhin techniques and average dwell time approach some finite-time stability and finite-time contractive stability criteria are derived for the related systems. Finally, examples are given to illustrate the efficiency and usefulness of the conclusion. © 2023 South China University of Technology. All rights reserved.
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页码：1569 / 1575
页数：6
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共 28 条
  • [1] MAO X R., Stochastic Differential Equations and Applications, (1997)
  • [2] MCHIRI L, BEN M A, BALEANU D, Et al., Finite-time stability of linear stochastic fractional-order systems with time delay, Advances in Difference Equations, 2021, 1, (2021)
  • [3] YOU S R, HU L J, LU J Q, Et al., Stabilization in distribution by delay feedback control for hybrid stochastic differential equations, IEEE Transactions on Automatic Control, 67, 2, pp. 971-977, (2021)
  • [4] MIN H F, XU S Y, ZHANG B Y, Et al., Output-feedback control for stochastic nonlinear systems subject to input saturation and time-varying delay, IEEE Transactions on Automatic Control, 64, 1, pp. 359-364, (2018)
  • [5] NGOC P., New criteria for mean square exponential stability of stochastic delay differential equations, International Journal of Control, 94, 12, pp. 3474-3482, (2021)
  • [6] CHEN W H, ZHENG W X., Global exponential stability of impulsive neural networks with variable delay: An LMI approach, IEEE Transactions on Circuits and Systems I: Regular Papers, 56, 6, pp. 1248-1259, (2008)
  • [7] CHEN P, DENG F Q, YAO F Q., Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses, Communications in Nonlinear Science and Numerical Simulation, 19, 6, pp. 2104-2114, (2013)
  • [8] DING J, WANG L L., Stability of impulsive stochastic functional differential systems with delayed impulses volume, Mathematica Applicata, 28, 3, pp. 507-516, (2015)
  • [9] HU W, ZHU Q, KARIMI H R., Some improved Razumikhin stability criteria for impulsive stochastic delay differential systems, IEEE Transactions on Automatic Control, 64, 12, pp. 5207-5213, (2019)
  • [10] HU W, ZHU Q X., Stability analysis of impulsive stochastic delayed differential systems with unbounded delays, Systems Control Letters, 136, (2020)
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