Determination of generalized exact boundary synchronization matrix for a coupled system of wave equations

Yanyan WANG

Front. Math. China ›› 2019, Vol. 14 ›› Issue (6) : 1339 -1352.

PDF (255KB)
Front. Math. China ›› 2019, Vol. 14 ›› Issue (6) : 1339 -1352. DOI: 10.1007/s11464-019-0798-0
RESEARCH ARTICLE
RESEARCH ARTICLE

Determination of generalized exact boundary synchronization matrix for a coupled system of wave equations

Author information +
History +
PDF (255KB)

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

Cite this article

Download citation ▾
Yanyan WANG. Determination of generalized exact boundary synchronization matrix for a coupled system of wave equations. Front. Math. China, 2019, 14(6): 1339-1352 DOI:10.1007/s11464-019-0798-0

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Gohberg I, Lancaster P, Rodman L. Invariant Subspaces of Matrices with Applications. New York: John Wiley & Sons, Inc, 1986

[2]

Li T T, Rao B P. 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

[3]

Li T T, Rao B P. Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Chin Ann Math Ser B, 2013, 34(1): 139–160

[4]

Li T T, Rao B P. A note on the exact synchronization by groups for a coupled system of wave equations. Math Methods Appl Sci, 2015, 38(2): 241–246

[5]

Li T T, Rao B P. On the exactly synchronizable state to a coupled system of wave equations. Port Math, 2015, 72(2-3): 83–100

[6]

Li T T, Rao B P. 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

[7]

Li T T, Rao B P, Hu L. Exact boundary synchronization for a coupled system of 1-D wave equations. ESAIM Control Optim Calc Var, 2014, 20(2): 339–361

[8]

Li T T, Rao B P, Wei Y M. Generalized exact boundary synchronization for a coupled system of wave equations. Discrete Contin Dyn Syst, 2014, 34(7): 2893–2905

[9]

Lions J L. Contrôlabilité Exacte, Perturbations et Stabilisation de Systèmes Distribués. Tome 1. Paris: Masson, 1988

[10]

Wang Y Y. Generalized exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls. Chin Ann Math Ser B (to appear)

[11]

Wang Y Y. On the generalized exact boundary synchronization for a coupled system of wave equations. Math Methods Appl Sci (to appear)

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature

AI Summary AI Mindmap
PDF (255KB)

453

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/