SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL

被引：96
|
作者：
Odibat, Zaid M. [3 ]
Corson, Nathalie [1 ]
Aziz-Alaoui, M. A. [1 ]
Bertelle, Cyrille [2 ]
机构：
[1] Univ Le Havre, Appl Math Lab, F-76058 Le Havre, France
[2] Univ Le Havre, LITIS, F-76058 Le Havre, France
[3] Univ Le Havre, Fac Sci & Technol, F-76058 Le Havre, France
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 01期
关键词：
Chaos synchronization; fractional-order system; Caputo fractional derivative; Mittag-Leffler function; stability; linear control; CHUAS SYSTEM; DIFFERENTIAL-SYSTEMS; CHEN SYSTEM; EQUATIONS;
D O I：
10.1142/S0218127410025429
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The chaotic dynamics of fractional-order systems has attracted much attention recently. Chaotic synchronization of fractional-order systems is further studied in this paper. We investigate the chaos synchronization of two identical systems via a suitable linear controller applied to the response system. Based on the stability results of linear fractional-order systems, sufficient conditions for chaos synchronization of these systems are given. Control laws are derived analytically to achieve synchronization of the chaotic fractional-order Chen, Rossler and modified Chua systems. Numerical simulations are provided to verify the theoretical analysis.
引用
收藏
页码：81 / 97
页数：17
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