Adaptive Pinning Synchronization of Delayed Complex Dynamical Networks.

In this paper, we study the adaptive pinning synchronization of complex dynamical networks based on intelligent materials with coupling delays and delays in the dynamical nodes. Via the theory of Lyapunov stability and adaptive pinning control technique, we design adaptive pinning feedback synchronization controller. The numerical example of the adaptive pinning synchronization problem has been also provided to demonstrate the effectiveness of the theory.