Controllability for a class of time-varying controlled switching impulsive systems with time delays

被引:16
|
作者
Zhao, Shouwei [1 ]
Zhang, Zihou [1 ]
Wang, Tianbo [1 ]
Yu, Weiqin [1 ]
机构
[1] Shanghai Univ Engn Sci, Sch Fundamental Studies, Shanghai 201620, Peoples R China
关键词
Controllability; Time delay; Switch; Impulse; LINEAR-SYSTEMS; OBSERVABILITY; REACHABILITY;
D O I
10.1016/j.amc.2013.11.103
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates two types of controllability for time-varying switching impulsive control systems with time delays and the relation between the two concepts. By characterizing the solution of the system, we establish necessary and sufficient conditions of the controllability of delayed switching impulsive systems with respect to a given switching time sequence. For some special cases, linear time-varying switching impulsive systems with or without time delay, the corresponding criteria are obtained. Compared with some existing results, the results presented here are more general and less conservative. Numerical examples are provided to show the effectiveness of the proposed methods. (c) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:404 / 410
页数:7
相关论文
共 50 条
  • [1] Controllability and observability for a class of time-varying impulsive systems
    Zhao, Shouwei
    Sun, Jitao
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1370 - 1380
  • [2] Stability criteria of a class of nonlinear impulsive switching systems with time-varying delays
    Wang, Qing
    Liu, Xinzhi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (03): : 1030 - 1047
  • [3] Controllability and observability for a class of time-varying impulsive systems on time scales
    Lupulescu, Vasile
    Younus, Awais
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (95) : 1 - 30
  • [4] Boundary controllability of impulsive integrodifferential evolution systems with time-varying delays
    Radhakrishnan, B.
    Chandru, P.
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2018, 12 (05): : 520 - 531
  • [5] Controllability and observability for time-varying switched impulsive controlled systems
    Zhao, Shouwei
    Sun, Jitao
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (12) : 1313 - 1325
  • [6] Controllability analysis of linear time-varying systems with multiple time delays and impulsive effects
    Liu, Yang
    Zhao, Shouwei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 558 - 568
  • [7] Controllability on a class of switched time-varying systems with impulses and multiple time delays
    Zhang, Ding-Xue
    Yan, Jiayuan
    Hu, Bin
    Guan, Zhi-Hong
    Zheng, Ding-Fu
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (11) : 2261 - 2280
  • [8] Approximate controllability of abstract stochastic impulsive systems with multiple time-varying delays
    Shen, Lijuan
    Sun, Jitao
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (08) : 827 - 838
  • [9] Controllability analysis of complex-valued impulsive systems with time-varying delays
    Yan, Jiayuan
    Hu, Bin
    Guan, Zhi-Hong
    Cheng, Xin-Ming
    Li, Tao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 83
  • [10] Complete Controllability of Piecewise Time-Varying Impulsive Systems with Multiple Input Delays
    Yan, Jiayuan
    Hu, Bin
    Chen, Long
    Zhang, Ding-Xue
    Guan, Zhi-Hong
    2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC), 2021, : 1431 - 1436