Analysis and adaptive control for synchronization and H∞ synchronization of coupled partial differential systems with multiple time-varying delays.

In this paper, synchronization and H∞ synchronization of coupled partial differential systems are respectively investigated. With the help of Lyapunov functional method, several criteria which ensure synchronization and H∞ synchronization of coupled partial differential systems are established. In addition, we also investigate adaptive synchronization and H∞ synchronization problems of coupled partial differential systems by designing appropriate controller. Finally, the numerical examples verify correctness of the obtained synchronization and H∞ synchronization criteria.