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.