Adaptive anti-synchronization of chaotic complex systems and chaotic real systems with unknown parameters

Author:

Sun Junwei1,Shen Yi2

Affiliation:

1. College of Electric and Information Engineering, Zhengzhou University of Light Industry, P. R. China

2. School of Automation, Huazhong University of Science and Technology, Hubei, P. R. China

Abstract

In this paper, we investigate the anti-synchronization between a class of chaotic real nonlinear systems and a class of chaotic complex nonlinear systems with fully uncertain parameters. According to Lyapunov stability theory, an adaptive control scheme and adaptive laws of parameters have been designed to realize the anti-synchronization between a class of chaotic real nonlinear systems and a class of chaotic complex nonlinear systems with different initial conditions. The anti-synchronization between the real Lorenz system and the complex Lorenz system, the real Chen system and the complex Lü system are presented as two examples to demonstrate the validity and feasibility of the presented control technique.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

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