Stability of neutral stochastic delayed systems with switching and distributed-delay dependent impulses

被引：22
|
作者：
Li, Jing [1 ]
Zhu, Quanxin [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, CHP LCOCS, Changsha 410081, Hunan, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2023年 / 47卷
基金：
中国国家自然科学基金;
关键词：
Distributed-delay dependent impulse; Exponential stability in mean square; Neutral stochastic delayed system; Switching system; EXPONENTIAL STABILITY; MEAN-SQUARE;
D O I：
10.1016/j.nahs.2022.101279
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is devoted to discuss the exponential stability in mean square of neutral stochastic delayed systems (NSDDs) with switching and distributed-delay dependent impulses. By using multiple Lyapunov functions and average dwell time (ADT), we provide some sufficient conditions for the exponential stability in mean square for NSDDs with switching and distributed-delay dependent impulses. Compared with the existing related works, we consider not only the influences of switches and neutral type on the stability of NSDDs with switching and distributed-delay dependent impulses but also the influences of both the stable continuous dynamics case and the stable discrete dynamics case. Finally, we provide two examples to illustrate the effectiveness of the theory.(c) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数：15
相关论文
共 50 条
  • [41] Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses
    Cheng, Pei
    Deng, Feiqi
    Yao, Fengqi
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (06) : 2104 - 2114
  • [42] Delay-dependent stability of a type of linear switching systems with discrete and distributed time delays
    Gao, Fengyin
    Zhong, Shouming
    Gao, Xiuzhi
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (01) : 24 - 39
  • [43] A note on attraction and stability of neutral stochastic delay differential equations with Markovian switching
    Song, Yinfang
    Yin, Quan
    Shen, Yi
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (08) : 1401 - 1410
  • [44] Numerical approximations of stochastic delay differential equations with delayed impulses
    Tran, Ky Quan
    Tien, Phan Trong
    APPLICABLE ANALYSIS, 2024, 103 (13) : 2477 - 2500
  • [45] Exponential stability for a stochastic delay neural network with impulses
    Suping Zhang
    Wei Jiang
    Zhixin Zhang
    Advances in Difference Equations, 2014
  • [46] Global stability of stochastic systems with Poisson distributed random time-delay
    Udom, Akaninyene Udo
    Zhu, Quanxin
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (06) : 1305 - 1315
  • [47] Exponential stability of impulsive random delayed nonlinear systems with average-delay impulses
    Lu, Yao
    Zhu, Quanxin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (08):
  • [48] Exponential stability for a stochastic delay neural network with impulses
    Zhang, Suping
    Jiang, Wei
    Zhang, Zhixin
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [49] Delay-Derivative-Dependent Stability for Delayed Neural Networks With Unbound Distributed Delay
    Li, Tao
    Song, Aiguo
    Fei, Shumin
    Wang, Ting
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (08): : 1365 - 1371
  • [50] STABILITY OF TIME-DELAY SYSTEMS WITH DELAYED IMPULSES: AVERAGE IMPULSIVE ESTIMATION APPROACH
    Liu, Yang
    Chen, Xiaoying
    Lu, Jianquan
    Gui, Weihua
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (02) : 620 - 646
12345