Exact Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls

Citation:

Tatsien LI,Xing LU,Bopeng RAO.Exact Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls[J].Chinese Annals of Mathematics B,2018,39(2):233~252
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Authors:

Tatsien LI; Xing LU;Bopeng RAO

Foundation:

This work was supported by the National Natural Science Foundation of China (No.11121101) and the National Basic Research Program of China (No.2013CB834100).
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

Classification:

93B05, 93B07, 93C20
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