Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System

摘要

This paper is concerned with the adaptive impulsive synchronization for a class of delay fractional-order chaotic system. Firstly, according to the impulsive differential equations theory and the adaptive control theory, the adaptive impulsive controller and the parametric update law are designed, respectively. Secondly, by constructing the suitable response system, the original fractional-order error system can be converted into the integral-order one. Finally, based on the Lyapunov stability theory and the generalized Barbalat's lemma, some new sufficient conditions are derived to guarantee the asymptotic stability of synchronization error system.