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

被引：31
作者：
Fu, Xiaozheng [2 ]
Zhu, Quanxin [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China
[2] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 377卷
基金：
中国国家自然科学基金;
关键词：
Neutral item; Exponential stability; Stochastic system; Delay-dependent impulses; Time-variant coefficients; Average dwell time; TO-STATE STABILITY; FINITE-TIME STABILITY; NEURAL-NETWORKS; SYSTEMS; STABILIZATION;
D O I：
10.1016/j.amc.2020.125146
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数：9
相关论文
共 33 条
  • [1] Exponential stability theorems for discrete-time impulsive stochastic systems with delayed impulses
    Cai, Ting
    Cheng, Pei
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (02): : 1253 - 1279
  • [2] Stability analysis for neutral stochastic delay systems with Markovian switching
    Chen, Huabin
    Shi, Peng
    Lim, Cheng-Chew
    [J]. SYSTEMS & CONTROL LETTERS, 2017, 110 : 38 - 48
  • [3] Stability of neutral stochastic switched time delay systems: An average dwell time approach
    Chen, Huabin
    Shi, Peng
    Lim, Cheng-Chew
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (03) : 512 - 532
  • [4] Stabilization of hybrid neutral stochastic differential delay equations by delay feedback control
    Chen, Weimin
    Xu, Shengyuan
    Zou, Yun
    [J]. SYSTEMS & CONTROL LETTERS, 2016, 88 : 1 - 13
  • [5] Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects
    Gao, Lijun
    Wang, Dandan
    Wang, Gang
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 : 186 - 200
  • [6] Stabilization of some systems with constant delay
    Grebenshchikov, B. G.
    Lozhnikov, A. B.
    [J]. IFAC PAPERSONLINE, 2018, 51 (32): : 105 - 109
  • [7] Input/output-to-state stability of impulsive switched delay systems
    Hong, Shanshan
    Zhang, Yu
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (17) : 6031 - 6052
  • [8] On finite-time stability and stabilization of positive systems with impulses
    Hu, Meng-Jie
    Wang, Yan-Wu
    Xiao, Jiang-Wen
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 31 : 275 - 291
  • [9] Neutral stochastic differential delay equations with Markovian switching
    Kolmanovskii, V
    Koroleva, N
    Maizenberg, T
    Mao, X
    Matasov, A
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2003, 21 (04) : 819 - 847
  • [10] Lakshmikantham V., 1989, World scientific, V6
1234