Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control

The dynamics and synchronization of fractional-order (FO) chaotic systems have received much attention in recent years. However, the research are focused mostly on FO commensurate systems. This paper addresses the synchronization of incommensurate FO (IFO) chaotic systems. By employing the comparison principle for FO systems with multi-order and the linear feedback control method, a sufficient condition for ensuring the synchronization of IFO chaotic systems is developed in terms of linear matrix inequalities (LMIs). Such synchronization condition relies just on the system parameters, and is easily verify and implemented. Two typical FO chaotic systems, named the IFO Genesio-Tesi system and Hopfied neural networks are selected to demonstrate the effectiveness and feasibility of the proposed method.

Automated summary

This paper investigates the synchronization of incommensurate fractional-order (FO) chaotic systems and proposes a sufficient condition for achieving synchronization using linear matrix inequalities (LMIs). The effectiveness and feasibility of the method are demonstrated through examples involving two typical FO chaotic systems.