Asymptotic stability of differential systems with impulsive effects suffered by logic choice

被引：81
|
作者：
Suo, Jinghui [1 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
AUTOMATICA | 2015年 / 51卷
基金：
中国国家自然科学基金;
关键词：
Impulsive effect; Logic choice; Hybrid system; Asymptotic stability; Network; SYNCHRONIZATION;
D O I：
10.1016/j.automatica.2014.10.090
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the asymptotic stability of differential systems with impulsive effects suffered by logic choice. First, we give the expression of system with logic selected impulsive effects, which is a hybrid system. Second, by using semi-tensor product, a criterion of asymptotic stability for the system is provided. Third, we study the linearly coupled system with impulsive effects under logic choice and give a sufficient condition for asymptotic stability. Finally, a numerical simulation is given to illustrate the effectiveness of our results. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：302 / 307
页数：6
相关论文
共 50 条
  • [1] Stability of delay differential systems under impulsive control suffered by logic choice
    Li, Chunxiang
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2023, 54 (12) : 2442 - 2451
  • [2] Stability analysis of time-delay differential systems with impulsive effect suffered by logic choice
    Li, Rong
    He, Zhenhua
    RESULTS IN CONTROL AND OPTIMIZATION, 2021, 4
  • [3] Existence of open-loop equilibria in differential games with impulsive effects suffered by logic choice
    Xue, Yuting
    Sun, Jitao
    Zhang, Yu
    SYSTEMS & CONTROL LETTERS, 2024, 185
  • [4] ASYMPTOTIC STABILITY FOR IMPULSIVE DIFFERENTIAL-SYSTEMS
    LIU, XZ
    PIRAPAKARAN, R
    APPLIED MATHEMATICS AND COMPUTATION, 1989, 30 (02) : 149 - 163
  • [5] Uniform Stability of Linear Delay Impulsive Differential Systems With Impulse Time Windows and Logic Choice
    Hui, Fangshu
    Luo, Wen
    Wang, Zhongliang
    Li, Chunxiang
    IEEE ACCESS, 2023, 11 : 104116 - 104125
  • [6] Stability of Differential Systems with Impulsive Effects
    Li, Chunxiang
    Hui, Fangshu
    Li, Fangfei
    MATHEMATICS, 2023, 11 (20)
  • [7] Asymptotic Stability Criteria for a Class of Impulsive Functional Differential Systems
    Bohner, Martin J.
    Stamova, Ivanka M.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (04): : 1475 - 1483
  • [8] UNIFORM ASYMPTOTIC STABILITY IN IMPULSIVE PERTURBED SYSTEMS OF DIFFERENTIAL-EQUATIONS
    KULEV, GK
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1992, 41 (1-2) : 49 - 55
  • [9] Finite-time stability of non-linear systems with impulsive effects due to logic choice
    Zhang, Junhui
    Sun, Jitao
    Wang, Qing-Guo
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (11): : 1644 - 1648
  • [10] On asymptotic stability in impulsive semidynamical systems
    Bonotto, E. M.
    Azevedo, K. A. G.
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2013, 19 (03) : 359 - 380
12345