scholarly journals Generalized exact boundary synchronization for a coupled system of wave equations

2014 ◽  
Vol 34 (7) ◽  
pp. 2893-2905 ◽  
Author(s):  
Tatsien Li ◽  
◽  
Bopeng Rao ◽  
Yimin Wei ◽  
◽  
...  
Keyword(s):  
Wave Equations ◽  
Coupled System ◽  
Exact Boundary ◽  
Exact Boundary Synchronization

scholarly journals Generalized approximate boundary synchronization for a coupled system of wave equations

2020 ◽  
Author(s):  
Yanyan Wang
Keyword(s):  
Wave Equations ◽  
Dirichlet Boundary ◽  
Coupled System ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
Exact Boundary ◽  
Boundary Controls ◽  
The Relationship ◽  
Exact Boundary Synchronization ◽  
Dirichlet Boundary Controls

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.

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