Asymptotic Synchronization For A Coupled System Of Wave Equations

In the article, firstly, we construct the energy exponential decay and asymptotic stabilization for the initial-boundary problem of wave equation with dissipation and linear wave equations coupled system whose coupled matrix is more over, under real Schur decomposition of matrix, we construct asymptotic synchronization for linear wave equations coupled system. Based on this result, we give the substantial conditions for synchronization of the wave equations coupled system with dissipations and prove that the coupled system is synchronous under our gived conditions.