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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front. Math. China    2019, Vol. 14 Issue (6) : 1339-1352    https://doi.org/10.1007/s11464-019-0798-0
RESEARCH ARTICLE
Determination of generalized exact boundary synchronization matrix for a coupled system of wave equations
Yanyan WANG()
School of Mathematical Sciences, Fudan University, Shanghai 200433, China
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Abstract

For a coupled system of wave equations with Dirichlet boundary controls, this paper deals with the possible choice of its generalized synchronization matrices so that the admissible generalized exact boundary synchronizations for this system are obtained.

Keywords Coupled system of wave equations      generalized exact boundary synchronization      generalized synchronization matrix     
Corresponding Author(s): Yanyan WANG   
Issue Date: 07 January 2020
 Cite this article:   
Yanyan WANG. Determination of generalized exact boundary synchronization matrix for a coupled system of wave equations[J]. Front. Math. China, 2019, 14(6): 1339-1352.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-019-0798-0
https://academic.hep.com.cn/fmc/EN/Y2019/V14/I6/1339
1 I Gohberg, P Lancaster, L Rodman. Invariant Subspaces of Matrices with Applications. New York: John Wiley & Sons, Inc, 1986
2 T T Li, B P Rao. Synchronisation exacte d’un système couplé d’équations des ondes par des contrôles frontières de Dirichlet. C R Math Acad Sci Paris, 2012, 350(15-16): 767–772
https://doi.org/10.1016/j.crma.2012.09.007
3 T T Li, B P Rao. Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Chin Ann Math Ser B, 2013, 34(1): 139–160
https://doi.org/10.1007/s11401-012-0754-8
4 T T Li, B P Rao. A note on the exact synchronization by groups for a coupled system of wave equations. Math Methods Appl Sci, 2015, 38(2): 241–246
https://doi.org/10.1002/mma.3062
5 T T Li, B P Rao. On the exactly synchronizable state to a coupled system of wave equations. Port Math, 2015, 72(2-3): 83–100
https://doi.org/10.4171/PM/1958
6 T T Li, B P Rao. Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls. J Math Pures Appl (9), 2016, 105(1): 86–101
https://doi.org/10.1016/j.matpur.2015.09.007
7 T T Li, B P Rao, L Hu. Exact boundary synchronization for a coupled system of 1-D wave equations. ESAIM Control Optim Calc Var, 2014, 20(2): 339–361
https://doi.org/10.1051/cocv/2013066
8 T T Li, B P Rao, Y M Wei. Generalized exact boundary synchronization for a coupled system of wave equations. Discrete Contin Dyn Syst, 2014, 34(7): 2893–2905
https://doi.org/10.3934/dcds.2014.34.2893
9 J L Lions. Contrôlabilité Exacte, Perturbations et Stabilisation de Systèmes Distribués. Tome 1. Paris: Masson, 1988
https://doi.org/10.3233/ASY-1988-1102
10 Y Y Wang. Generalized exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls. Chin Ann Math Ser B (to appear)
11 Y Y Wang. On the generalized exact boundary synchronization for a coupled system of wave equations. Math Methods Appl Sci (to appear)
[1] Chenmu WANG, Yanyan WANG. Partial approximate boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls[J]. Front. Math. China, 2020, 15(4): 727-748.
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