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Partial approximate boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls |
Chenmu WANG( ), Yanyan WANG |
| School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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Abstract In this paper, we propose the concept of partial approximate boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls, and make a deep discussion on it. We analyze the relation-ship between the partial approximate boundary synchronization and the partial exact boundary synchronization, and obtain sufficient conditions to realize the partial approximate boundary synchronization and necessary conditions of Kalman's criterion. In addition, with the help of partial synchronization decomposition, a condition that the approximately synchronizable state does not depend on the sequence of boundary controls is also given.
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| Keywords
Coupled system of wave equations
partial approximate boundary synchronization
partially approximately synchronizable state
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Corresponding Author(s):
Chenmu WANG
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Issue Date: 09 September 2020
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Y Y. WangGeneralized approximate boundary synchronization for a coupled system of wave equations. Preprint
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