Regional target control of the wave equation

被引:0
|
作者
Zerrik, E [1 ]
Larhrissi, R [1 ]
机构
[1] Moulay Ismail Univ, Fac Sci, AFACS UFR, MACS Grp, Meknes, Morocco
关键词
D O I
10.1080/00207720110035264
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The purpose of this paper is to show how one can achieve regional controllability with minimum energy for the wave equation with two approaches characterizing the optimal control. The first is based on an extension of the Hilbert uniqueness method, and the second uses penalization techniques. Moreover, we obtain from the first approach an explicit formula for the optimal control. This useful formula is then implemented numerically and illustrated through examples.
引用
收藏
页码:1233 / 1242
页数:10
相关论文
共 50 条
  • [21] Regional optimal control of a bilinear plate equation
    Aadi, Abderrahman Ait
    Zerrik, El Hassan
    2019 6TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT 2019), 2019, : 349 - 354
  • [22] Analytic control of the wave equation and the Schrodinger equation on surfaces of revolution
    Allibert, B
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1998, 23 (9-10) : 1493 - 1556
  • [23] Drive Control of Spiral Wave and Turbulence by a Target Wave in CGLE
    向秀桥
    施保昌
    何耀耀
    Communications in Theoretical Physics, 2013, 60 (10) : 439 - 444
  • [24] Drive Control of Spiral Wave and Turbulence by a Target Wave in CGLE
    Xiang Xiu-Qiao
    Shi Bao-Chang
    He Yao-Yao
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2013, 60 (04) : 439 - 444
  • [25] Imaging by target-oriented wave-equation inversion
    Valenciano, Alejandro A.
    Biondi, Biondo L.
    Clapp, Robert G.
    GEOPHYSICS, 2009, 74 (06) : WCA109 - WCA120
  • [26] NUMERICAL CONTROL OF THE WAVE EQUATION AND HUYGENS' PRINCIPLE
    Rosier, Carole
    Rosier, Lionel
    MATHEMATICAL REPORTS, 2022, 24 (1-2): : 319 - 338
  • [27] RECEDING HORIZON CONTROL FOR THE STABILIZATION OF THE WAVE EQUATION
    Azmi, Behzad
    Kunisch, Karl
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (02) : 449 - 484
  • [28] A DYNAMIC CONTROL LAW FOR THE WAVE-EQUATION
    MORGUL, O
    AUTOMATICA, 1994, 30 (11) : 1785 - 1792
  • [29] Control of a Wave Equation with a Dynamic Boundary Condition
    Vanspranghe, Nicolas
    Ferrante, Francesco
    Prieur, Christophe
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 652 - 657
  • [30] Multiobjective optimal control of the linear wave equation
    Zarei, Hassan
    Bahrmand, Mehdi Rezai
    AIN SHAMS ENGINEERING JOURNAL, 2014, 5 (04) : 1299 - 1305