Impulsive synchronization of fractional order hyperchaotic systems based on comparison system

被引：15

作者：

Ma Tie-Dong ^{[1
]}

Jiang Wei-Bo ^{[1
]}

Fu Jie ^{[2
]}

机构：

[1] Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China

[2] Chongqing Univ, Coll Optoelect Engn, Minist Educ, Key Lab Optoelect Technol & Syst, Chongqing 400044, Peoples R China

来源：

ACTA PHYSICA SINICA | 2012年 / 61卷 / 09期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金; 中国博士后科学基金;

关键词：

fractional order chaotic systems; chaos synchronization; impulsive control; comparison system; CHAOTIC SYSTEMS; LAG SYNCHRONIZATION;

D O I：

10.7498/aps.61.090503

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a novel impulsive control method based on comparison system is proposed to realize complete synchronization of a class of fractional order chaotic systems. By constructing the suitable response system, the original fractional order error system can be converted into the integral order one. Based on the theory of Lyapunov stability and impulsive differential equations, some effective sufficient conditions are derived to guarantee the asymptotical stability of synchronization error system. In particular, some simpler and more convenient conditions are derived by taking the same impulsive distances and control gains. Compared with the existing results, the main results in this paper are more practical and rigorous. Simulation results for fractional order Chen system show the effectiveness and the feasibility of the proposed impulsive control method.

引用

页数：6

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