Exponential stability of switched linear impulsive time-varying system and its application

被引：5
|
作者：
Ju, Yanhao [1 ,2 ]
Meng, Fanwei [2 ]
Sun, Yuangong [1 ,2 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 11期
基金：
中国国家自然科学基金;
关键词：
COPOSITIVE LYAPUNOV FUNCTIONS; STABILIZATION; STABILIZABILITY;
D O I：
10.1016/j.jfranklin.2022.05.024
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 aims at the problem of exponential stability for switched linear impulsive time-varying system. By constructing two different switched discretized Lyapunov functions, some new sufficient conditions ensuring the global exponential stability of switched linear impulsive time-varying system are provided, which can be employed to the case when all subsystems are unstable. Furthermore, we apply theoretical results to the consensus of multi-agent system with switching topologies. Finally, numerical examples demonstrate the effectiveness of given results.(c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：5619 / 5633
页数：15
相关论文
共 50 条
  • [1] EXPONENTIAL STABILITY OF SWITCHED LINEAR SYSTEMS WITH TIME-VARYING DELAY
    Phat, Vu N.
    Pairote, Satiracoo
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
  • [2] Robust exponential stability of nonlinear impulsive switched systems with time-varying delays
    Liu, Xiu
    Zhong, Shouming
    Ding, Xiuyong
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2012, 17 (02): : 210 - 222
  • [3] EXPONENTIAL　STABILITY　OF　LINEAR　TIME－VARYING　IMPULSIVE　DIFFERENTIAL　SYSTEMS　WITHDELAYS
    关治洪
    刘永清
    [J]. Annals of Applied Mathematics, 1996, (01) : 51 - 59
  • [4] Exponential stability of switched linear systems with interval time-varying delays
    Rajchakit, Grienggrai
    [J]. 2012 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND BIOMIMETICS (ROBIO 2012), 2012,
  • [5] EXPONENTIAL STABILITY AND APPLICATIONS OF SWITCHED POSITIVE LINEAR IMPULSIVE SYSTEMS WITH TIME-VARYING DELAYS AND ALL UNSTABLE SUBSYSTEMS
    He, Yanchao
    Bai, Yuzhen
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (04): : 2369 - 2391
  • [6] Exponential Stability of Time-varying Switched Impulsive Nonlinear Systems Using Comparison Theorem
    Fan, Min
    Liang, Mengqian
    Tian, Yazhou
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2024, 22 (07) : 2122 - 2129
  • [7] Exponential stability of discrete time-varying purturbed Markov switched systems with impulsive jump
    Gao, Lijun
    Wu, Yuqiang
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 319 - +
  • [8] Exponential stability of impulsive positive switched systems with discrete and distributed time-varying delays
    Liu, Zhi
    Zhang, Xianfu
    Lu, Xiaodong
    Hou, Ting
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (10) : 3125 - 3138
  • [9] Exponential stability conditions for switched linear stochastic systems with time-varying delay
    Cong, S.
    Yin, L. -P.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (15): : 2453 - 2459
  • [10] Exponential Stability and Stabilization of Linear Time-Varying Singular System
    Alaviani, S. Sh.
    Shafiee, M.
    [J]. IMECS 2009: INTERNATIONAL MULTI-CONFERENCE OF ENGINEERS AND COMPUTER SCIENTISTS, VOLS I AND II, 2009, : 1221 - +
12345