Chaos synchronization of fractional-order discrete-time systems with different dimensions using two scaling matrices

Abstract

In this paper, we study the synchronization of fractional-order discrete-time chaotic systems by means of two scaling matrices Θ and φ. The considered synchronization scheme can be tailored to encompass several types of classical synchronization types. We proposed two nonlinear control strategies for the Θ-φ synchronization of an m-dimensional drive system and an n-dimensional response system, whereby the synchronization dimension d = m and d = n, respectively. Numerical examples are presented to test the findings of the study.