Sur l'état de synchronisation exacte d'un système couplé d'équations des ondes |
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| Authors: | Tatsien Li Bopeng Rao |
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| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;2. Shanghai Key Laboratory for Contemporary Applied Mathematics, China;3. Nonlinear Mathematical Modeling and Methods Laboratory, China;4. Institut de recherche mathématique avancée, Université de Strasbourg, 67084 Strasbourg, France |
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| Abstract: | In this Note, we consider the determination of the state of exact synchronization for a coupled system of wave equations. In a special case, the state of exact synchronization can be uniquely determined whatever the boundary controls would be chosen. In the general case, the state of exact synchronization depends on the boundary controls that realize the exact synchronization. However, we can estimate the difference between the state of exact synchronization and the solution to a problem independent of boundary controls. The determination of the state of exact synchronization by groups is also discussed. |
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