Sufficient and necessary conditions of exponential stabilisation for a class of distributed second-order semilinear systems with time delay

被引：0
|
作者：
Delbouh, A. [1 ]
Tsouli, A. [2 ]
Ouarit, M. [3 ]
机构：
[1] Hassan II Univ Casablanca, Lab Appl Math & Comp Sci LMAI, ENS, Casablanca, Morocco
[2] Hassan II Univ Casablanca, ENSAM, Casablanca, Morocco
[3] Hassan II Univ Casablanca, Fac Sci Ain Chock, Lab Fundamental & Appl Math LMFA, Casablanca, Morocco
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2025年 / 98卷 / 01期
关键词：
Semilinear systems; second order; feedback control; exponential stabilisation; decay estimate; time delay; EVOLUTION-EQUATIONS; STABILITY;
D O I：
10.1080/00207179.2024.2322660
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 problem of exponential stabilisation for a class of retarded distributed second-order semilinear systems by means of a bounded feedback control. The existence and uniqueness of mild solution for the considered systems are proved in Hilbert space framework. Sufficient and necessary conditions for exponential stabilisation are given. Some illustrating applications are provided.
引用
收藏
页码：115 / 124
页数：10
相关论文
共 50 条
  • [1] Exponential Stabilization of Second-Order Switched Systems: Necessary and Sufficient Conditions
    Cong, Shen
    Yin, LiPing
    Zou, Yun
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 3859 - 3863
  • [2] Stabilisation of second-order bilinear and semilinear systems
    Ezzaki, Lahcen
    Zerrik, El Hassan
    INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (12) : 3483 - 3490
  • [3] Second-Order Impulsive Delay Differential Systems: Necessary and Sufficient Conditions for Oscillatory or Asymptotic Behavior
    Santra, Shyam Sundar
    Khedher, Khaled Mohamed
    Moaaz, Osama
    Muhib, Ali
    Yao, Shao-Wen
    SYMMETRY-BASEL, 2021, 13 (04):
  • [4] Necessary and Sufficient Conditions on Stabilization of Unstable Second-Order Delay Systems under PD Control
    Sun, Li
    Ma, Dan
    Chen, Chao
    PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 5548 - 5553
  • [5] Necessary conditions for the exponential stability of a class of distributed delay-systems
    Cuvas, Carlos
    Mondie, Sabine
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 1960 - 1965
  • [6] Necessary and sufficient conditions for absolute stability: The case of second-order systems
    Margaliot, M
    Langholz, G
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2003, 50 (02): : 227 - 234
  • [7] Necessary and Sufficient Conditions for Oscillation of a Class of Second Order Impulsive Systems
    Tripathy, A. K.
    Santra, S. S.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 30 (02) : 433 - 450
  • [8] Necessary and sufficient conditions for stability of a class of second order switched systems
    Paul, A
    Akar, M
    Safonov, MG
    Mitra, U
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 4561 - 4562
  • [9] Necessary and Sufficient Conditions for Oscillation of a Class of Second Order Impulsive Systems
    A. K. Tripathy
    S. S. Santra
    Differential Equations and Dynamical Systems, 2022, 30 : 433 - 450
  • [10] Exponential stability of second order time delay semilinear systems with bilinear control
    Essamet, M.
    El Harraki, I.
    Kadrani, A.
    JOURNAL OF CONTROL AND DECISION, 2024,
12345