Impulsive synchronisation of a class of fractional-order hyperchaotic systems

Abstract

In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems' impulsive synchronisation are illustrated. Furthermore, we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems, thereby extending the applicable scope of impulsive synchronisation. Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme.

Anti-Synchronization of Fractional-Order Chaotic Circuit with Memristor via Periodic Intermittent Control

“…Examples of synchronization occur in di erent elds of engineering and science like coupled cardiac, circuits in electronics and respiratory systems in physiology, and coupled laser systems in nonlinear optics. Many synchronization methods have been put forward for chaotic systems, such as sliding mode control method [23,24], impulsive control method [25,26], active control method [27], periodic intermittent control method [28,29], etc.…”

Synchronization of impulsively coupled complex networks

“…In addition, the proposed distributed impulsive control scheme provides with us a flexible method to select the synchronized state of the network, as compared with the scheme in Ref. [26]. Controller implementation difficulty can also be avoided.…”

Impulsive Synchronization and Adaptive-Impulsive Synchronization of a Novel Financial Hyperchaotic System

“…Luo [15] gave the sufficient condition for impulsive synchronization of a new chaotic system. Ma and Wang [16] introduced the impulsive control and synchronization of a new unified hyperchaotic system; the control gains and impulsive intervals are both variable and analyzed by the impulsive synchronization of a class of fractional-order hyperchaotic systems [17]. These works on impulsive synchronization were based on the theory of comparison systems, and it is easy to define the impulsive interval and impulsive control gain.…”