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Exact Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls
Authors:Tatsien LI  Xing LU and Bopeng RAO
Institution:1.School of Mathematical Sciences,Fudan University,Shanghai,China;2.Shanghai Key Laboratory for Contemporary Applied Mathematics,Shanghai,China;3.Nonlinear Mathematical Modeling and Methods Laboratory,Shanghai,China;4.Institut de Recherche Mathématique Avancée,Université de Strasbourg,Strasbourg,France
Abstract:In this paper, for a coupled system of wave equations with Neumann boundary controls, the exact boundary synchronization is taken into consideration. Results are then extended to the case of synchronization by groups. Moreover, the determination of the state of synchronization by groups is discussed with details for the synchronization and for the synchronization by 3-groups, respectively.
Keywords:Exact boundary synchronization  Exact boundary synchronization bygroups  State of synchronization  State of synchronization bygroups  Coupled system of wave equations  Neumann boundary control
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