In this paper, an adaptive integral sliding mode control scheme is proposed for synchronization of hyperchaotic Zhou systems. In the proposed scheme, an integral sliding mode control is designed to stabilize a hyperchaotic Zhou system with known parameters to its unstable equilibrium at the origin. The control is then applied to the synchronization of two identical systems, i.e., a slave and a ...

In this brief control theory is used to formalize hyperchaos synchronization as a nonlinear observer design issue. Following this approach, a new systematic tool to synchronize a class of hyperchaotic systems via a scalar transmitted signal is developed. The proposed technique has been applied to synchronize two well-known hyperchaotic systems.

The growth of technology and the emphasis on privacy have intensified the need to find a fast and secure cryptographic method. As chaotic signals are usually noise-like and chaotic systems are very sensitive to the initial condition, they can be used in cryptography. We have analyzed the properties of two new hyperchaotic systems that we have developed and then propose a secure chaotic cryptogr...

A simple method to design chaos suppressors for a class of chaotic systems that can be decomposed into a linear subsystem and a nonlinear subsystem whose states can be decoupled is presented. The method yields a constant state feedback controller and global stability of the controlled system. The proposed methodology is demonstrated on three well-known chaotic systems, the third-order Chua circ...

This paper introduces a hyperchaotic system from the Lü with sinusoïdal perturbation. has more complex dynamical behaviors, and can generate 2-scroll attractor chaotic under different control parameters. Theoretical analyses simulation are conducted to investigate behaviors of proposed by means Lyapunov exponents, analysis bifurcation diagram phase portraits.

In this brief, a technique for synchronizing hyperchaotic systems is presented. The basic idea is to make the driven system a linear observer for the state of the drive system. By developing this approach, a linear time-invariant synchronization error system is obtained, for which a necessary and sufficient condition is given in order to asymptotically stabilize its dynamics at the origin. The ...

In this paper, new results have been obtained via sliding mode control for the hybrid chaos synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009). In hybrid synchronization of master and slave systems, the odd states are completely synchronized, while the even states are anti-synchronized. The stability results derived in this paper for the hybrid synchronization of ide...

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...