Adaptive projective synchronization of a novel fractional-order hyperchaotic system

Author

Darui Zhu ; Ling Liu ; Chongxin Liu ; Xia Pang ; Bingnan Yan

Author_Institution

Inst. of Electr. Eng., Xi´an Jiaotong Univ., Xi´an, China

fYear

2014

fDate

9-11 June 2014

Firstpage

814

Lastpage

818

Abstract

This paper analyzed the Lyapunov exponent characteristics of a novel fractional order hyperchaotic system with the asymmetric structure, analyzed the dynamic characteristics of the system, and then studied the adaptive projective synchronization control method. Through analyze the fractional order stability theory, a powerful synchronization scheme and the adaptive law of the unknown parameters are studied for achieving the adaptive projective synchronization. This control method realized adaptive completely selfsynchronization of the system with the unknown parameters. Numerical simulation results are further evidence that the proposed control strategy realizes the adaptive projective synchronization.

Keywords

Lyapunov methods; adaptive control; chaos; nonlinear control systems; stability; synchronisation; Lyapunov exponent characteristics; adaptive law; adaptive projective synchronization control method; asymmetric structure; dynamic characteristics; fractional order hyperchaotic system; fractional order stability theory; numerical simulation; self-synchronization; Adaptive systems; Calculus; Chaos; Mathematical model; Stability analysis; Symmetric matrices; Synchronization; adaptive projective synchronization; fractional order system; hyperchaotic system;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics and Applications (ICIEA), 2014 IEEE 9th Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-4799-4316-6

Type

conf

DOI

10.1109/ICIEA.2014.6931274

Filename

6931274