Feedback stabilization of non-homogeneous distributed bilinear systems with varying time delay

被引：3
|
作者：
Ouarit, M. [1 ]
Tsouli, A. [2 ]
机构：
[1] Hassan II Univ Casablanca, Fac Sci Ain Chock, LMFA Lab, Casablanca, Morocco
[2] Hassan II Univ Casablanca, LMAI Lab, ENSAM, Casablanca, Morocco
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 531卷 / 02期
关键词：
Distributed non-homogeneous; bilinear systems; Polynomial stabilization; Exponential stabilization; Varying time delay; Decomposition method; STABILITY ANALYSIS; EQUATION;
D O I：
10.1016/j.jmaa.2023.127852
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the feedback stabilization for a class of non-homogeneous distributed bilinear systems, with periodically varying time delay, evolving in Hilbert state space. Sufficient conditions for polynomial and exponential stabilization are given. Explicit energy decay rates are provided in both cases. Illustrative examples are displayed. (c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数：27
相关论文
共 50 条
  • [31] Transient feedback and global instability in non-homogeneous systems
    Timoshin, SN
    Linkins, JM
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 363 (1830): : 1235 - 1245
  • [32] Stabilization problem of stochastic time-varying coupled systems with time delay and feedback control
    Liu, Yan
    Jia, Wenwen
    Li, Wenxue
    APPLICABLE ANALYSIS, 2018, 97 (11) : 1983 - 2000
  • [33] State feedback stabilization of nonlinear discrete-time systems with time-varying time delay
    Boukas, E. K.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (06) : 1341 - 1350
  • [34] Output-feedback stabilization of uncertain nonholonomic systems with time-varying delay
    Zhang, Zhong-Cai
    Wu, Yu-Qiang
    Kongzhi yu Juece/Control and Decision, 2014, 29 (09): : 1569 - 1575
  • [35] Bilinear forms on non-homogeneous Sobolev spaces
    Cascante, Carme
    Ortega, Joaquin M.
    FORUM MATHEMATICUM, 2020, 32 (04) : 995 - 1026
  • [36] State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay
    Liu, Liang
    Xie, Xue-Jun
    AUTOMATICA, 2013, 49 (04) : 936 - 942
  • [37] On Output Feedback Stabilization of Time-Varying Decomposable Systems with Switching Topology and Delay
    Zakwan, Muhammad
    Ahmed, Saeed
    Bajcinca, Naim
    IFAC PAPERSONLINE, 2020, 53 (02): : 4713 - 4718
  • [38] Global output feedback stabilization for a class of nonlinear time-varying delay systems
    Zhai, Jun-yong
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 : 606 - 614
  • [39] Robust stabilization of uncertain systems with time-varying delay via output feedback
    Zhang, Tao
    Cui, Yan-Qiu
    PROCEEDINGS OF 2007 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2007, : 2525 - 2530
  • [40] Robust stabilization of uncertain systems with time-varying delay via output feedback
    Zhang, Tao
    Cui, Yan-qiu
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 1410 - 1414
12345