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

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

In this paper, the exact synchronization for a coupled system of wave equations with Dirichlet boundary controls and some related concepts are introduced. By means of the exact null controllability of a reduced coupled system, under certain conditions of com- patibility, the exact synchronization, t...

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2013, Vol.34 (1), p.139-160
Hauptverfasser: Li, Tatsien, Rao, Bopeng
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Dirichlet
Mathematics
Mathematics and Statistics
可控性
同步
波动方程
相容性
耦合系统
边界控制
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Zusammenfassung:In this paper, the exact synchronization for a coupled system of wave equations with Dirichlet boundary controls and some related concepts are introduced. By means of the exact null controllability of a reduced coupled system, under certain conditions of com- patibility, the exact synchronization, the exact synchronization by groups, and the exact null controllability and synchronization by groups are all realized by suitable boundary controls.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-012-0754-8