In this paper, we derive new results for backstepping controller design for the anti-synchronization of Arneodo chaotic system (1980). Backstepping control is a recursive procedure that combines the choice of a Lyapunov function with the design of a feedback controller. In anti-synchronization of chaotic systems, the states of the synchronized systems have the same absolute values, but opposite...

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 anti-synchronization of identical hyperchaotic Newton-Leipnik systems (Ghosh and Bhattacharya, 2010) via sliding mode control. The stability results derived in this paper for the anti-synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. Numerical simulations are shown to illustrate and validate the anti-synchronization...

In this paper, synchronization and anti-synchronization of Bhalekar-Gejji chaotic system is proposed with application to secure communication. Further its analog circuit design and simulation is carried out using analog components. Proposed synchronization and anti-synchronization with application to secure communication is achieved using robust SMC. For communication, the information signal is...

this paper presents a gaussian radial basis function neural network based on sliding mode control for trajectory tracking and vibration control of a flexible joint manipulator. to study the effectiveness of the controllers, designed controller is developed for tip angular position control of a flexible joint manipulator. the adaptation laws of designed controller are obtained based on sliding m...

The study of chaos can be introduced in several applications as: medical field, fractal theory, electrical circuits and secure communication, essentially based on synchronization techniques. The synchronization for chaotic systems has been extended to the scope, such as generalized synchronization, phase synchronization, lag synchronization, and even anti-synchronization (Pecora & Carroll, 1990...

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...

Synchronization phenomenon has been studied intensively because of its application in many fields, and one of it is secure communication. There are many ways for synchronization, such as feedback method, adaptive techniques, time delay feedback approach, backstepping method, with nonlinear control [10]. We will prove here synchronization and anti-synchronization between two chaotic systems of d...

This paper investigates the anti-synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009) via sliding mode control. The stability results derived in this paper for the anti-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 control metho...

This paper investigates the hybrid chaos synchronization of identical Arneodo systems (1981), identical Rössler systems (1976) and non-identical Arneodo and Rössler systems. In hybrid synchronization of chaotic systems, one part of the systems is synchronized, while the other part is anti-synchronized so that complete synchronization (CS) and anti-synchronization (AS) co-exist in the systems. T...