ABSTRACT
This paper focus on the asymptotic synchronization issue of coupled time-delay PDSs via pinning control and
boundary control. The asymptotic synchronization of PDSs with both node-delay and coupling delay is discussed
firstly. Then the pinning controller and boundary controller are also presented in order to achieve the asymptotic
synchronization. Further more, synchronization criteria are established by using the Lyapunov function method
and inequality techniques. Obviously, it is an efficient control technique to combine the pinning control with the
boundary control for the asymptotic synchronization of the PDSs. Finally, an example of digital simulation is used
to elucidate the practicability and validity of our control method and the correctness of the theorem.
Keywords: - Asymptotic synchronization, partial differential systems, pinning control, boundary control