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
来源：
AUTOMATICA | 2024年 / 169卷
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
  • [21] New Technique for Stability Analysis for Time-Varying Systems with Delay
    Mazenc, Frederic
    Malisoff, Michael
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 1215 - 1220
  • [22] On the Stability Analysis of Switched Nonlinear Systems with Time Varying Delay Under Arbitrary Switching
    Kermani, Marwen
    Sakly, Anis
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 30 (02) : 329 - 346
  • [23] On stability of linear systems with time-varying delay
    Meng Haofei
    Kang Yu
    Zhai Dihua
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1499 - 1504
  • [24] Stability and stabilization of switched linear discrete-time systems with interval time-varying delay
    Phat, V. N.
    Ratchagit, K.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (04) : 605 - 612
  • [25] Stabilisability of switched linear systems with time-varying delay in the detection of switching signals
    Xie, D.
    Wu, Y.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (04) : 404 - 410
  • [26] Unified stability criteria for slowly time-varying and switched linear systems
    Gao, Xiaobin
    Liberzon, Daniel
    Liu, Ji
    Basar, Tamer
    AUTOMATICA, 2018, 96 : 110 - 120
  • [27] Exponential stability of switched systems with interval time-varying delay
    Sun, Y. G.
    Wang, L.
    Xie, G.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (08) : 1033 - 1040
  • [28] Stability of switched positive linear delay systems with mixed impulses
    Hong, Shanshan
    Zhang, Yu
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (16) : 3022 - 3037
  • [29] Stability of Time-Delay Feedback Switched Linear Systems
    Vu, Linh
    Morgansen, Kristi A.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) : 2385 - 2390
  • [30] Stability Analysis of Time-Varying Neutral Time-Delay Systems
    Mazenc, Frederic
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (02) : 540 - 546
12345