Synchronization for a class of coupled linear partial differential systems via boundary control

The synchronization for coupled linear partial differential systems(PDSs) with boundary control is considered. Based on the nonsingular matrix transformation method, we decouple the coupled synchronization error dynamical systems and turn the synchronization control problem into the asymptotical stabilization problem. Then, using the backstepping approach, we present the boundary control strategy to guarantee the synchronization. At last, numerical example is given to illustrate the effectiveness of our result.