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

• Published in: Chinese annals of mathematics. Serie B Vol. 34; no. 1; pp. 139 - 160
• Main Authors: Li, Tatsien, Rao, Bopeng
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 2013; Shanghai Key Laboratory for Contemporary Applied Mathematic; Nonlinear Mathematical Modeling and Methods Laboratory; School of Mathematical Sciences, Fudan University, Shanghai 200433, China%Institut de Recherche Mathématique Avancée, Université de Strasbourg, 67084 Strasbourg, France
• Subjects: 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; Exact synchronization; 35B37; 93B07; Exact synchronization by groups; 93B05; Exact null controllability
• ISSN: 0252-9599; 1860-6261
• DOI: 10.1007/s11401-012-0754-8

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.