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Exact boundary synchronization for a coupled system of 1-D wave equations

Published online by Cambridge University Press:  06 February 2014

Tatsien Li ,
Bopeng Rao  and
Long Hu
Tatsien Li
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai Key Laboratory for Contemporary Applied Mathematics; Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai 200433, China. dqli@fudan.edu.cn; 10110180015@fudan.edu.cn
Bopeng Rao
Affiliation:
Institut de Recherche Mathématique Avancée, Université de Strasbourg, 67084 Strasbourg, France; rao@math.u-strasbg.fr
Long Hu
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai Key Laboratory for Contemporary Applied Mathematics; Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai 200433, China. dqli@fudan.edu.cn; 10110180015@fudan.edu.cn
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Abstract

Several kinds of exact synchronizations and the generalized exact synchronization are introduced for a coupled system of 1-D wave equations with various boundary conditions and we show that these synchronizations can be realized by means of some boundary controls.

Keywords

Exact null controllabilityexact synchronizationexact synchronization by groupsexact null controllability and synchronization by groupsgeneralized exact synchronization
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 20 , Issue 2 , April 2014 , pp. 339 - 361
Copyright
© EDP Sciences, SMAI, 2014

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