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
  • [1] Finite-time boundary stabilization of reaction-diffusion systems
    Wu, Kai-Ning
    Sun, Han-Xiao
    Shi, Peng
    Lim, Cheng-Chew
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (05) : 1641 - 1652
  • [2] Finite-time control for the bilinear heat equation
    Ouzahra, M.
    EUROPEAN JOURNAL OF CONTROL, 2021, 57 : 284 - 293
  • [3] Finite-time boundary stabilization of fractional reaction-diffusion systems
    Zhang, Run-Jie
    Wang, Liming
    Wu, Kai-Ning
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (04) : 4612 - 4627
  • [4] Finite-time stabilization of stochastic delay reaction-diffusion systems
    Wu, Kai-Ning
    Yu, Hai-Yan
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 1713 - 1716
  • [5] Finite-time boundary stabilization of the reaction-diffusion system with switching time-delay input
    Ghaderi, Najmeh
    Keyanpour, Mohammad
    Mojallali, Hamed
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2021, 44 (02) : 353 - 367
  • [6] Finite-time stabilization for stochastic reaction-diffusion systems with Markovian switching via boundary control
    Han, Xin-Xin
    Wu, Kai-Ning
    Ding, Xiaohua
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 385 (385)
  • [7] Asymptotic behaviour near finite-time extinction for the fast diffusion equation
    Galaktionov, V.A.
    Peletier, L.A.
    Archive for Rational Mechanics and Analysis, 139 (01):
  • [8] Asymptotic Behaviour near Finite-Time Extinction for the Fast Diffusion Equation
    Victor A. Galaktionov
    Lambertus A. Peletier
    Archive for Rational Mechanics and Analysis, 1997, 139 : 83 - 98
  • [9] Asymptotic behaviour near finite-time extinction for the fast diffusion equation
    Galaktionov, VA
    Peletier, LA
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 139 (01) : 83 - 98
  • [10] On energetically optimal finite-time stabilization
    Polyakov, Andrey
    Efimov, Denis
    Ping, Xubin
    2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 6702 - 6707