Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls

Abstract

In this paper, the asymptotic null controllability and various kinds of asymptotic synchronization, as some sorts of weakened controllability and synchronization, are introduced and studied for a coupled system of wave equations with Dirichlet boundary controls. Equivalent properties of observability are established and several examples of explanation are also given.

Keywords

asymptotic null controllability D-observability asymptotic synchronization asymptotic null controllability and synchronization by groups asymptotic synchronization by groups CD-observability