Exponential stability of impulsive discrete systems with time delays

被引：26
作者：
Zhang, Yu [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Exponential stability; Discrete system; Delay; Impulse; Lyapunov functional; NEURAL-NETWORKS;
D O I：
10.1016/j.aml.2012.06.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to investigate the global exponential stability of impulsive discrete systems with time delays. By using Lyapunov functionals, a number of new global exponential stability criteria are provided. It is shown that a discrete system with time delays can be globally exponentially stabilized by impulses even if it may be unstable itself. Some examples are also presented to illustrate the effectiveness and the superiority of the obtained results. (c) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2290 / 2297
页数：8
相关论文
共 50 条
  • [1] Exponential stability of impulsive discrete-time systems with infinite delays
    Lin, Yu
    Zhang, Yu
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (16) : 3272 - 3283
  • [2] Stability of Discrete Impulsive Systems with Time Delays
    Zhang, Yu
    Sun, Jitao
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 7227 - 7231
  • [3] Exponential stability of impulsive discrete systems with multiple delays
    2013, Academy Publisher, P.O.Box 40,, OULU, 90571, Finland (08) : 2564 - 2571
  • [4] Practical Stability of Impulsive Discrete Systems with Time Delays
    Sun, Liangji
    Liu, Chengyan
    Li, Xiaodi
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [5] Impulsive Exponential Stabilization of Discrete Population Growth Models with Time Delays
    Zhang, Yu
    Sun, Jitao
    11TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV 2010), 2010, : 1940 - 1944
  • [6] Exponential stability of impulsive positive switched systems with discrete and distributed time-varying delays
    Liu, Zhi
    Zhang, Xianfu
    Lu, Xiaodong
    Hou, Ting
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (10) : 3125 - 3138
  • [7] New Results on Stability of Discrete-Time Impulsive Systems with Time Delays
    Lin, Yu
    Zhang, Yu
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2019, 38 (10) : 4572 - 4596
  • [8] Exponential Stability of Impulsive Fractional Switched Systems With Time Delays
    He, Danhua
    Xu, Liguang
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2021, 68 (06) : 1972 - 1976
  • [9] Practical Exponential Stability of Discrete Time Impulsive System with Delay
    Wangrat, Siriluk
    Yotha, Narongsak
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (03): : 1639 - 1648
  • [10] Robust exponential stability of uncertain impulsive delays differential systems
    Li, Dengwang
    Li, Xiaodi
    NEUROCOMPUTING, 2016, 191 : 12 - 18
12345