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

Abstract 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.

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