Exponential stability theorems for discrete-time impulsive stochastic systems with delayed impulses

被引：16
|
作者：
Cai, Ting [1 ]
Cheng, Pei [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 02期
基金：
中国国家自然科学基金;
关键词：
FUNCTIONAL-DIFFERENTIAL SYSTEMS; RAZUMIKHIN-TYPE THEOREMS; NEURAL-NETWORKS; VARYING DELAY; STABILIZATION; EQUATIONS; STABILIZABILITY;
D O I：
10.1016/j.jfranklin.2019.12.005
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 investigates the pth moment exponential stability and almost sure exponential stability of discrete-time impulsive stochastic systems with delayed impulses. By using Razumikhin technique, several sufficient conditions for the exponential stability of discrete-time impulsive stochastic systems are derived, which extends the corresponding results for discrete-time stochastic systems without impulses. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabilizer are obtained. Three examples and simulations are also presented to illustrate the effectiveness of the obtained results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1253 / 1279
页数：27
相关论文
共 50 条
  • [41] Stability of discrete-time delay Markovian jump systems with stochastic non-linearity and impulses
    Zhang, Yu
    IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (18): : 2178 - 2187
  • [42] Exponential stability analysis for discrete-time homogeneous impulsive positive delay systems of degree one
    Yang, Huitao
    Zhang, Yu
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (04): : 2295 - 2329
  • [43] Input-to-state stability of discrete-time switched delayed systems with delay-dependent impulses: Admissible edge-dependent average impulsive interval
    Gao, Lijun
    Liu, Huiying
    Park, Ju H.
    Cao, Zhengbao
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (11) : 6236 - 6266
  • [44] 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
  • [45] New criteria on exponential stability of impulsive stochastic delayed differential systems with infinite delays
    Xu, Haofeng
    Zhu, Quanxin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 111
  • [46] Exponential stability for discrete-time singular stochastic systems with semi-Markovian switching
    Zhang, Mengmeng
    Zhu, Quanxin
    JOURNAL OF THE FRANKLIN INSTITUTE, 2024, 362 (04)
  • [47] pth Moment Exponential Stability of Switched Discrete-Time Stochastic Systems: A Multiple Lyapunov Functions Method
    Fan, Lina
    Zhu, Quanxin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (13): : 6835 - 6853
  • [48] Stability of impulsive delayed linear differential systems with delayed impulses
    Wang, Huamin
    Duan, Shukai
    Li, Chuandong
    Wang, Lidan
    Huang, Tingwen
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (08): : 3044 - 3068
  • [49] IMPROVED RESULTS ON EXPONENTIAL STABILITY OF DISCRETE-TIME SWITCHED DELAY SYSTEMS
    Xie, Xiang
    Xu, Honglei
    Cheng, Xinming
    Yu, Yilun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (01): : 199 - 208
  • [50] EXPONENTIAL STABILITY OF DELAYED SYSTEMS WITH AVERAGE-DELAY IMPULSES
    Jiang, Bangxin
    Lu, Jianquan
    Liu, Yang
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (06) : 3763 - 3784
12345