Robust exponential stability of impulsive switched systems with switching delays: A Razumikhin approach

被引：35
|
作者：
Liu, Xiu [1 ]
Zhong, Shouming [1 ,2 ]
Ding, Xiuyong [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Minist Educ, Key Lab Neuroinformat, Chengdu 610054, Sichuan, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Impulsive systems; Switched systems; Minimum dwell time; Exponential stability; Razumikhin method; STABILIZATION; CRITERIA;
D O I：
10.1016/j.cnsns.2011.09.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we focus on the robust exponential stability of a class of uncertain nonlinear impulsive switched systems with switching delays. We introduce a novel type of piecewise Lyapunov-Razumikhin functions. Such functions can efficiently eliminate the impulsive and switching jump of adjacent Lyapunov functions at impulsive switching instants. By Razumikhin technique, the delay-independent criteria of exponential stability are established on the minimum dwell time. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained theoretical results. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：1805 / 1812
页数：8
相关论文
共 50 条
  • [21] Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems
    Fu, Xilin
    Li, Xiaodi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (01) : 1 - 10
  • [22] Exponential stability of linear switched positive systems with distributed delays
    Yan, Zheng
    Nan, Wang Yao
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1639 - 1643
  • [23] Exponential Stability of Switched Neutral Systems with Mixed Time-varying Delays
    Li, Tai-fang
    Dimirovski, Georgi M.
    Zhao, Jun
    2010 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2010), 2010,
  • [24] Robust exponential stability analysis of switched systems under switching boundary mismatch
    Li, Bingyun
    Song, Chunyue
    Zhao, Jun
    Yu, Jingxian
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (11) : 6459 - 6480
  • [25] Exponential stability of impulsive discrete systems with time delay and applications in stochastic neural networks: A Razumikhin approach
    Wu, Sichao
    Li, Chuandong
    Liao, Xiaofeng
    Duan, Shukai
    NEUROCOMPUTING, 2012, 82 : 29 - 36
  • [26] Exponential stability of impulsive discrete systems with multiple delays
    2013, Academy Publisher, P.O.Box 40,, OULU, 90571, Finland (08) : 2564 - 2571
  • [27] Exponential Stability of Impulsive Differential Systems with Variable Delays
    Wang, Huamin
    Duan, Shukai
    Huang, Tingwen
    Wang, Lidan
    PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 1675 - 1680
  • [28] Exponential stability of impulsive discrete systems with time delays
    Zhang, Yu
    APPLIED MATHEMATICS LETTERS, 2012, 25 (12) : 2290 - 2297
  • [29] Stochastic Stability of Impulsive Switched Systems With Constrained Switching and Impulses
    Ren, Wei
    Xiong, Junlin
    IEEE CONTROL SYSTEMS LETTERS, 2021, 5 (04): : 1441 - 1446
  • [30] Input-to-state stability for impulsive switched systems with delays based on a class of generalised impulsive and switching signals
    Liu, Zihan
    Gao, Lijun
    INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (11) : 2683 - 2696
12345