Synchronization of bidirectional N-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure

Abstract

Abstract This paper discusses the synchronization problem of N-coupled fractional-order chaotic systems with ring connection via bidirectional coupling. On the basis of the direct design method, we design the appropriate controllers to transform the fractional-order error dynamical system into a nonlinear system with antisymmetric structure. By choosing appropriate fractional-order Lyapunov functions and employing the fractional-order Lyapunov-based stability theory, several sufficient conditions are obtained to ensure the asymptotical stabilization of the fractional-order error system at the origin. The proposed method is universal, simple, and theoretically rigorous. Finally, some numerical examples are presented to illustrate the validity of theoretical results.

Keywords

• Chaos synchronization
• Fractional-order chaotic system
• Fractional-order Lyapunov function
• Ring connection
• Antisymmetric structure