In this paper, an active backstepping design is proposed to achieve control and synchronization of a new hyperchaotic system. The proposed method is a systematic design approach and exists in a recursive procedure that interlaces the choice of a Lyapunov function with the design of the active control. The proposed controller enables stabilization of chaotic motion to the origin as well as synch...

In this paper, we derive new results for global chaos control of chaotic systems via sliding control. We also explore the analysis and global chaos control of the hyperchaotic Li system (2005) using sliding control. The global chaos control results via sliding control have been established using Lyapunov stability theory. Numerical simulations using MATLAB are shown to validate and depict the e...

This paper studies the problem of the circuit implementation and the finite-time synchronization for the 4D (four-dimensional) Rabinovich hyperchaotic system. The electronic circuit of 4D hyperchaotic system is designed. It is rigorously proven that global finite-time synchronization can be achieved for hyperchaotic systems which have uncertain parameters.

Synchronization of coupled nonidentical fractional-order hyperchaotic systems is addressed by the active sliding mode method. By designing an active sliding mode controller and choosing proper control parameters, the master and slave systems are synchronized. Furthermore, synchronizing fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system is performed to show...

Abstract. The problem of synchronization between non-identical hyperchaotic fractional order systems is discussed in this article. We use the method of active control to synchronize the chaotic trajectories. To illustrate the proposed theory, we consider two particular examples of synchronization in fractional order hyperchaotic systems viz. Rossler system with new system and Chen system with L...

This paper derives new results for the design of sliding mode controller for the global chaos synchronization of identical hyperchaotic Lorenz systems (Jia, 2007). The synchronizer results derived in this paper for the complete chaos synchronization of identical hyperchaotic systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculat...