Adaptive synchronization of fractional-order memristor-based Chua's system

Abstract

Adaptive synchronization of fractional-order memristor-based Chua's circuit is discussed in this paper. Two adaptive synchronization schemes are presented for the fractional-order memristor-based Chua's circuit based on the stability theory of fractional-order differential system, the drive–response concept and the adaptive control principle. Also the case of only one parameter known and the case of all the other parameters fully unknown are discussed. The results show that controller parameters can be adjusted to enhance the convergence rate of the error system. Finally, numerical simulations are drawn to demonstrate these results.