Control and synchronization in fractional-order systems.

Abstract

In this graduation thesis, we have considered different classes of fractional order discrete time systems. The proposed systems are defined using Caputo h-difference operator, in addition, we have studied the existence of chaos and its control and synchronization. As a conclusive remark, we would point out that the main contributions and innovations of this thesis can be summarized as follows, novel fractional-order discrete time systems based on the Caputo h-difference operator, chaos synchronization using linear control laws, and chaos stabilization based on very simple controllers.