Global Exponential Synchronization for a Class of Delayed Chaotic Networks Using Partial System States

This Letter deals with the global exponential synchronization of a class of chaotic networks with time delays. Based on the Halanay inequality technique and the Lyapunov stability theory, the global synchronization of a network about its all variables is derived by only considering the global synchronization of its partial variables, and a delay-independent criteria and decentralized control law is derived to ensure the adaptive exponential synchronization of the model and these results are proved to be able to guarantee different exponential convergence rates for the controlled states and the uncontrolled states of the error systems, respectively, and the simpler, less conservative and more efficient results are easy to be verified in engineering applications. Finally, an illustrative example is presented to verify the effectiveness of the presented synchronization scheme.