Finite-time stabilization for bilinear reaction diffusion equation

被引：1
|
作者：
Najib, H. [1 ]
Ouzahra, M. [1 ]
机构：
[1] ENS Univ Sidi Mohamed Ben Abdellah, MMPA Lab, Fes, Morocco
来源：
IFAC PAPERSONLINE | 2022年 / 55卷 / 12期
关键词：
Maximal monotone operators; bilinear control; parabolic equation; finite-time stabilization; SELF-ORGANIZED CRITICALITY; VARYING FEEDBACK; SYSTEMS;
D O I：
10.1016/j.ifacol.2022.07.401
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the finite-time stabilization of the bilinear reaction-diffusion equation. Here the reaction term leads to an unbounded control operator. We will first investigate the well-posedness of the system at hand and then proceed to the question of finite-time extinction with feedback control. Our approach is based on the theory of maximal monotone operators. A numerical example is also presented. Copyright (C) 2022 The Authors.
引用
收藏
页码：741 / 746
页数：6
相关论文
共 50 条
  • [21] FINITE-TIME BLOW-UP IN REACTION-DIFFUSION EQUATIONS
    WEBER, RO
    BARRY, SI
    MATHEMATICAL AND COMPUTER MODELLING, 1993, 18 (10) : 163 - 168
  • [22] Finite-time stabilization for semi-Markov reaction-diffusion memristive NNs: A boundary pinning control scheme
    Wei, Angang
    Wang, Kaiming
    Wang, Enmin
    Tong, Tong
    KNOWLEDGE-BASED SYSTEMS, 2023, 266
  • [23] Finite-time stabilization output-feedback control of Schrödinger's equation
    Li, Ruicheng
    Jin, Feng-Fei
    JOURNAL OF PROCESS CONTROL, 2024, 140
  • [24] Finite-time stability of impulsive reaction-diffusion systems with and without time delay
    Wu, Kai-Ning
    Na, Ming-Ye
    Wang, Liming
    Ding, Xiaohua
    Wu, Boying
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 363
  • [25] BOUNDARY FEEDBACK STABILIZATION FOR AN UNSTABLE TIME FRACTIONAL REACTION DIFFUSION EQUATION
    Zhou, Hua-Cheng
    Guo, Bao-Zhu
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (01) : 75 - 101
  • [26] Finite-Time Stability and Stabilization of Polynomial Systems
    Tartaglione, Gaetano
    Ariola, Marco
    Amato, Francesco
    2023 AMERICAN CONTROL CONFERENCE, ACC, 2023, : 1371 - 1376
  • [27] Finite-Time Stabilization of Stochastic Nonholonomic Systems
    Gao, Fangzheng
    Yuan, Fushun
    Yao, Hejun
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 812 - 817
  • [28] Bounded finite-time stabilization of the Rossler system
    Choque-Rivero, Abdon E.
    Cruz Mullisaca, Efrain
    Gomez Orozco, Blanca de Jesus
    2019 IEEE INTERNATIONAL AUTUMN MEETING ON POWER, ELECTRONICS AND COMPUTING (ROPEC 2019), 2019,
  • [29] Finite-Time Stabilization of Uncertain MIMO Systems
    Levant, Arie
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 4753 - 4758
  • [30] Finite-Time Stabilizability, Detectability, and Dynamic Output Feedback Finite-Time Stabilization of Linear Systems
    Amato, F.
    Darouach, M.
    De Tommasi, G.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (12) : 6521 - 6528
12345