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

Citation:

Tatsien LI,Bopeng RAO.Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls[J].Chinese Annals of Mathematics B,2013,34(1):139~160
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Authors:

Tatsien LI; Bopeng RAO;
Abstract: 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 compatibility, the exact synchronization, the exact synchronization by groups, and the exact null controllability and synchronization by groups are all realized by suitable boundary controls.

Keywords:

Exact null controllability, Exact synchronization, Exact synchronization by groups

Classification:

35B37, 93B05, 93B07
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