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

Tatsien Li; Xing Lu; Bopeng Rao

doi:10.1007/s11401-018-1062-8

Chinese Annals of Mathematics, Series B ›› 2018, Vol. 39 ›› Issue (2) : 233 -252. DOI: 10.1007/s11401-018-1062-8

Article

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

Tatsien Li ¹^,²^,⁴^,^a
, Xing Lu ¹
, Bopeng Rao ³

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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 by groups / State of synchronization / State of synchronization by groups / Coupled system of wave equations / Neumann boundary control

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Tatsien Li, Xing Lu, Bopeng Rao. Exact Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls. Chinese Annals of Mathematics, Series B, 2018, 39(2): 233-252 DOI:10.1007/s11401-018-1062-8

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