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, an optimal adaptive sliding mode controller is proposed for anti-synchronization of two identical hyperchaotic systems. We use hyperchaotic complex T-system for master and slave systems with unknown parameters in the slave system. To construct the optimal adaptive sliding mode controller, first a simple sliding surface is designed. Then, the optimal adaptive sliding mode controll...

This paper investigates the global chaos synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode co...

Hyperchaotic systems are chaotic systems having more than one positive Lyapunov exponent and they have important applications in secure data transmission and communication. This paper applies active control method for the synchronization of identical and different hyperchaotic Pang systems (2011) and hyperchaotic Wang-Chen systems (2008). Main results are proved with the stability theorems of L...

 This paper investigates on control and stabilization of a new hyperchaotic system. The hyperchaotic system is stabilized using a new technique which called Generalized Backstepping Method (GBM). Because of its similarity to Backstepping approach, this method is called GBM. But, this method is more applicable in comparison with conventional Backstepping.  Backstepping method is used only for sy...

Abstract This article deals with anti-synchronization between different hyperchaotic systems such as Lu system and Newton-Leipnik system; and Newton-Leipnik system and Rossler system using adaptive control method. Based on Lyapunov stability theory, the anti synchronization between a pair of hyperchaotic systems with fully unknown parameters are derived. An adaptive control law and a parameter ...

this paper investigates on control and stabilization of a new hyperchaotic system. the hyperchaotic system is stabilized using a new technique which called generalized backstepping method (gbm). because of its similarity to backstepping approach, this method is called gbm. but, this method is more applicable in comparison with conventional backstepping.  backstepping method is used only for sys...

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...

Synchronization of an uncertain new hyperchaotic Lorenz system is studied in this paper. Based on Lyapunov stability theory and adaptive synchronization method, an adaptive control law and a parameter update rule for unknown parameters are given for selfsynchronization of the hyperchaotic Lorenz systems. In addition, the synchronization of the hyperchaotic Lorenz system at speed with the unifie...

Anti-synchronization of chaotic systems is a research problem that deals with synchronizing the states of master and slave systems at a phase of 180 degrees, i.e. the states are equal in magnitude but opposite in sign. This paper deals with the anti-synchronization research problem of identical hyperchaotic Lü systems (Zhao and Lü, 2008) and new results are derived via sliding mode control. Thi...