Stability analysis for linear systems with a switched rapidly varying delay

被引:1
|
作者
Mazenc, Frederic [1 ]
Niculescu, Silviu-Iulian [2 ]
Torres-Garcia, Diego [2 ,3 ]
机构
[1] Univ Paris Saclay, Univ Paris Sud, CNRS, L2S,Cent Supelec,Inria Saclay, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France
[2] Univ Paris Saclay, CNRS, Cent Supelec, Lab Signaux & Syst L2S,UMR CNRS 8506, F-91192 Gif Sur Yvette, France
[3] Univ Autonoma San Luis Potosi UASLP, Fac Ingn, Dr Manuel Nava 8, San Luis Potosi, SLP, Mexico
关键词
Stability; Time-varying; Switch; Delay; Averaging; EIGENVALUE PERTURBATION APPROACH; STABILIZATION;
D O I
10.1016/j.automatica.2024.111862
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Linear continuous-time systems with switched pointwise delays are studied. A technique enabling to establish the stability of these systems with a rapidly varying periodic delay is proposed. It relies on two ingredients: a representation of the systems as time-varying systems with constant delays and an averaging approach. Illustrative examples show the effectiveness of the proposed methodology. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Interval stability/stabilization for linear stochastic switched systems with time-varying delay
    Deng, Yalin
    Zhang, Huasheng
    Dai, Yuzhen
    Li, Yuanen
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 428
  • [2] New stability criterion for linear switched systems with time-varying delay
    Zhu, Xun-Lin
    Yang, Hongyong
    Wang, Youyi
    Wang, Yu-Long
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (02) : 214 - 227
  • [3] Stability Analysis and Delay Control for Switched Positive Linear Systems
    Zhao, Xudong
    Yin, Yunfei
    Liu, Lei
    Sun, Ximing
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (07) : 2184 - 2190
  • [4] Exponential stability conditions for switched linear stochastic systems with time-varying delay
    Cong, S.
    Yin, L. -P.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (15) : 2453 - 2459
  • [5] Stability analysis of uncertain switched systems via delay partitioning
    Zhao, Wen-Xiu
    Sun, Yuan-Gong
    2015 15TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS), 2015, : 1088 - 1091
  • [7] Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems
    Wang, CH
    Zhang, LX
    Gao, HJ
    Wu, LG
    PROCEEDINGS OF 2005 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-9, 2005, : 917 - 922
  • [8] Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay
    Li, Jun
    Wu, Weigen
    Yuan, Jimin
    Tan, Qianrong
    Yin, Xing
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
  • [9] Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems
    Zhang Lixian
    Wang Changhong
    Gao Huijun
    JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2007, 18 (02) : 320 - 326
  • [10] A delay-derivative-dependent switched system model method for stability analysis of linear systems with time-varying delay☆
    Zeng, Hong-Bing
    Chen, Yu-Jie
    He, Yong
    Zhang, Xian-Ming
    AUTOMATICA, 2025, 175