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

Tatsien Li () and Bopeng Rao ()
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Tatsien Li: Fudan University, Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai Key Laboratory for Contemporary Applied Mathematic, School of Mathematical Sciences
Bopeng Rao: Université de Strasbourg, Institut de Recherche Mathématique Avancée

A chapter in Partial Differential Equations: Theory, Control and Approximation, 2014, pp 295-321 from Springer

Abstract: 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; 35B37; 93B05; 93B07 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-41401-5_12

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DOI: 10.1007/978-3-642-41401-5_12

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