ADAPTIVE NONLINEAR GENERALIZED SYNCHRONIZATION OF CHAOTIC SYSTEMS WITH UNCERTAIN PARAMETERS

Zhen Jia and Guangming Deng

Received April 17, 2009; Revised June 29, 2009

Abstract

A more general form of chaotic synchronization, so called nonlinear generalized synchronization (NLGS) is investigated, which includes the linear generalized synchronization (LGS) and the hybrid projective synchronization (HPS) as its special cases. Based on the adaptive technique and Lyapunov stability theory, an adaptive control scheme is designed to achieve the NLGS between two chaotic systems with different structures and uncertain parameters. Some numerical simulations are provided to demonstrate the effectiveness and robustness of the proposed scheme.

Keywords and phrases: chaotic system, nonlinear generalized synchronization, adaptive technique.