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

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...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2018-03, Vol.39 (2), p.233-252
Main Authors: Li, Tatsien, Lu, Xing, Rao, Bopeng
Format: Article
Language:English
Subjects:
Analysis of PDEs
Applications of Mathematics
Mathematical analysis
Mathematics
Mathematics and Statistics
Optimization and Control
Synchronism
Wave equations
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Summary: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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-018-1062-8