Rupeng Feng

TL;DR: In this paper, a nonlinear control method and based on Lyapunov stability theory to design controller to synchronize two identical chaotic systems or two different chaotic systems was introduced. But the technique was applied to two identical Lu systems and two different Lu systems.

TL;DR: Based on Lyapunov stabilization theory, an adaptive controller with parameters identification for a class of chaotic systems with unknown parameters is proposed in this article, which is successfully applied to some typical chaotic systems, which can be spilt into two terms: one is the term with known states, the other is the symmetric matrix term with unknown parameter, such as Lorenz system.

TL;DR: The proposed scheme offers systematic design method for the synchronization of a class of discrete-time hyper-chaotic systems, which implies much complicated high-order chaotic systems can be used to improve the security in chaos communications.

TL;DR: In this article, a variable structure control (VSC) controller is proposed for nonlinear chaotic systems via appropriate switching surface selection such that the system state reaches it in finite time and the estimation of the bounds on system uncertainties and disturbances is given.