Abstract
Recently, synchronization in discrete-time chaotic systems attract more and more attentions and has been extensively studied, due to its potential applications in secure communication. This work is concerned with the synchronization of fractional-order discrete-time chaotic systems with different dimensions. In particular, through appropriate nonlinear control, matrix projective synchronization (MPS) can be achieved between different dimensional fractional-order map. Numerical examples and computer simulations are used to show the effectiveness and the feasibility of the proposed synchronization schemes.