This paper investigates the hybrid chaos synchronization of identical hyperchaotic Newton-Leipnik systems (Ghosh and Bhattacharya, 2010) by sliding mode control. The stability results derived in this paper for the hybrid chaos synchronization of identical hyperchaotic Newton-Leipnik systems are established using Lyapunov stability theory. Hybrid synchronization of hyperchaotic Newton-Leipnik sy...

In this paper, an adaptive control scheme is developed to study the hybrid synchronization behavior between two identical and different hyperchaotic systems with unknown parameters. This adaptive hybrid synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown. The adaptive hybrid synchron...

This paper establishes new results for the sliding controller design for the global chaos synchronization of identical hyperchaotic Yujun systems (2010). Hyperchaotic systems are chaotic nonlinear systems having more than one positive Lyapunov exponent. Because of the complex dynamics properties of hyperchaotic system such as high capacity, high security and high efficiency, they are very usefu...

In this paper, a unified fuzzy H∞ control approach is proposed to deal with the problem of synchronization of two different hyperchaotic systems. The T–S fuzzy models with a small number of fuzzy IF-THEN rules are employed to represent many typical hyperchaotic systems exactly. Based on the T–S fuzzy hyperchaotic models, a fuzzy H∞ synchronization controller is designed via parallel distributed...

Abstract. This paper analyzed the anti-synchronization of the four-dimensional autonomous different structural hyperchaotic systems, and achieved the anti-synchronization of the hyperchaotic Lorenz-Chen system, hyperchaotic Chen-Lü system and hyperchaotic Lü-Lorenz system with each other via the active control theory. Numerical simulations are provided for illustration and verification of the p...

This paper deals with the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The mentioned method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. At first, a nonlinear recursive active backstepping control vector is designed such that state variables of the hyperchaotic Wang s...

in this paper, the synchronization of a new hyperchaotic complex system based on t-s fuzzy model is proposed. first the considered hyperchaotic system is represented by t-s fuzzy model equivalently. then by using the parallel distributed compensation (pdc) method and by applying linear system theory and exact linearization (el) technique, a fuzzy controller is designed to realize the synchroniz...

This paper derives new results for the sliding controller design for the hybrid synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009). In hybrid synchronization of a pair of chaotic systems consisting of master and slave systems, the odd states of the systems are completely synchronized, while the even states are anti-synchronized so that complete synchronization (CS) a...

This paper investigates the global chaos synchronization of identical hyperchaotic Lü systems (Chen, Lu, Lü and Yu, 2006) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical hyperchaotic Lü systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode ...

This paper derives new results for the design of sliding mode controller for the hybrid synchronization of identical hyperchaotic Chen systems (Jia, Dai and Hui, 2010). The synchronizer results derived in this paper for the hybrid synchronization of identical hyperchaotic Chen systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calcul...