Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback controller

This Letter investigates chaos synchronization of chaotic and hyperchaotic systems. Based on finite-time stability theory, a simple adaptive control method for realizing chaos synchronization in a finite time is proposed. In comparison with previous methods, the present method is not only simple, but could also be easily utilized in application. Numerical simulations are given to illustrate the effectiveness and validity of the proposed approach.

► Optimizing the synchronization time is essential for chaotic synchronization application.
► This is particularly important in communication system for recovering encoded message/data.
► This Letter proposes an adaptive control method for realizing finite-time chaos synchronization.
► The method gives simple control inputs that guarantee finite-time synchronization.
► It could be exploited for experimental realization of finite-time synchronization.