Hybrid projective synchronization of a class of new chaotic systems

Author

Tao Wang ; Nuo Jia ; Fengru Zhang

Author_Institution

Sch. of Math. Sci., Harbin Normal Univ., Harbin, China

fYear

2015

fDate

23-25 May 2015

Firstpage

1278

Lastpage

1283

Abstract

A class of new four-dimensional autonomous chaotic systems are presented, which have wide chaotic or hy-perchaotic parameter range obtained from Lyapunov exponent spectrum, Lyapunov dimension and phase portrait. Based on Lyapunov stability theory and Barbalat´s Lemma, adaptive feedback control laws for hybrid projective synchronization (HPS) of the systems are proposed, especially, the controller with the law can be simplified into a single scalar one to achieve complete synchronization. Furthermore, HPS between every two of them with unknown parameters is investigated and adaptive parameter update laws are also developed. Finally, numerical simulations are demonstrated to verify the effectiveness of the strategies.

Keywords

Lyapunov methods; adaptive control; chaos; feedback; stability; synchronisation; Barbalat lemma; HPS; Lyapunov dimension; Lyapunov exponent spectrum; Lyapunov phase portrait; Lyapunov stability theory; adaptive feedback control law; autonomous chaotic system; hybrid projective synchronization; Adaptive control; Chaotic communication; Lyapunov methods; Numerical simulation; Synchronization; Adaptive control; Chaotic systems; Hybrid projective synchronization; Scalar controller;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162115

Filename

7162115