Adaptive synchronization of chaotic systems with impulsive disturbances

Abstract

In this paper, the problems adaptive synchronization of chaotic systems are investigated. First, the problem of adaptive synchronization for two coupled chaotic systems is explored and sufficient conditions for convergence of the state estimates is provided. Without impulse disturbances, it can be shown that the proposed adaptive slave scheme will drive the coupled systems to be global synchronization. Finally, an example, the Chua's circuit with simulation, is given to illustrate the application of our results.