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Generalized approximate boundary synchronization for a coupled system of wave equations
  • Yanyan Wang
Yanyan Wang
Fudan University
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Abstract

In this paper, we consider the generalized approximate boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls. We analyse the relationship between the generalized approximate boundary synchronization and the generalized exact boundary synchronization, give a sufficient condition to realize the generalized approximate boundary synchronization and a necessary condition in terms of Kalman's matrix, and show the meaning of the number of total controls. Besides, by the generalized synchronization decomposition, we define the generalized approximately synchronizable state, and obtain its properties and a sufficient condition for it to be independent of applied boundary controls.

Peer review status:ACCEPTED

27 Nov 2020Submitted to Mathematical Methods in the Applied Sciences
28 Nov 2020Assigned to Editor
28 Nov 2020Submission Checks Completed
30 Nov 2020Editorial Decision: Accept