GENERALIZED EXACT BOUNDARY SYNCHRONIZATION FOR A COUPLED SYSTEM OF WAVE EQUATIONS

被引：23
|
作者：
Li, Tatsien [1 ,2 ]
Rao, Bopeng [3 ]
Wei, Yimin [1 ,2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Nonlinear Math Modeling & Methords Lab, Shanghai Key Lab Contemporary Appl Math, Shanghai, Peoples R China
[3] Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 07期
关键词：
Coupled system of wave equations; exact boundary null controllability; generalized exact boundary synchronization; exact boundary synchronization; exact boundary synchronization by groups; exact boundary null controllability and synchronization by groups; Moore-Penrose generalized inverse; CONTROLLABILITY;
D O I：
10.3934/dcds.2014.34.2893
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of Moore-Penrose generalized inverse, a general framework is presented to treat the generalized exact boundary synchronization for a coupled systems of wave equations.
引用
下载
收藏
页码：2893 / 2905
页数：13
相关论文
共 50 条
  • [21] Exact Boundary Synchronization by Groups for a Kind of System of Wave Equations Coupled with Velocities
    Xing LU
    Tatsien LI
    Chinese Annals of Mathematics,Series B, 2023, (01) : 17 - 34
  • [22] Exact Boundary Synchronization by Groups for a Kind of System of Wave Equations Coupled with Velocities
    Xing Lu
    Tatsien Li
    Chinese Annals of Mathematics, Series B, 2023, 44 : 17 - 34
  • [23] Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls
    Li, Tatsien
    Rao, Bopeng
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2016, 105 (01): : 86 - 101
  • [24] EXACT BOUNDARY SYNCHRONIZATION BY GROUPS FOR A COUPLED SYSTEM OF WAVE EQUATIONS WITH COUPLED ROBIN BOUNDARY CONTROLS ON A GENERAL BOUNDED
    Lu, Xing
    Li, Ta-tsien
    Rao, Bopeng
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (06) : 4457 - 4480
  • [25] EXACT BOUNDARY SYNCHRONIZATION FOR A COUPLED SYSTEM OF 1-D QUASILINEAR WAVE EQUATIONS
    Hu, Long
    Li, Tatsien
    Qu, Peng
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2016, 22 (04) : 1163 - 1183
  • [26] EXACT BOUNDARY SYNCHRONIZATION FOR A COUPLED SYSTEM OF 1-D WAVE EQUATIONS WITH COUPLED BOUNDARY CONDITIONS OF DISSIPATIVE TYPE
    Hu, Long
    Li, Tatsien
    Rao, Bopeng
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (02) : 881 - 901
  • [27] Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations
    Chengxia ZU
    Tatsien LI
    Bopeng RAO
    Chinese Annals of Mathematics,Series B, 2023, (05) : 641 - 662
  • [28] Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations
    Zu, Chengxia
    Li, Tatsien
    Rao, Bopeng
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2023, 44 (05) : 641 - 662
  • [29] A note on the exact synchronization by groups for a coupled system of wave equations
    Li, Tatsien
    Rao, Bopeng
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (02) : 241 - 246
  • [30] Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations
    Chengxia Zu
    Tatsien Li
    Bopeng Rao
    Chinese Annals of Mathematics, Series B, 2023, 44 : 641 - 662
12345