Adaptive synchronization of drive-response fractional-order complex dynamical networks with uncertain parameters

被引：80
|
作者：
Yang, Li-xin [1 ,2 ]
Jiang, Jun [1 ]
机构：
[1] Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat, Xian 710049, Peoples R China
[2] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Synchronization; Fractional-order complex network; Parameter identification; Adaptive control; POPULATION; SYSTEMS;
D O I：
10.1016/j.cnsns.2013.09.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the adaptive synchronization in the drive-response fractional-order dynamical networks with uncertain parameters. By means of both the stability theory of fractional-order differential system and the adaptive control technique, a novel adaptive synchronization controller is developed with a more general and simpler analytical expression, which does not contain the parameters of the complex network, and effective adaptive laws of parameters. Furthermore, the very strong and conservative uniformly Lipschitz condition on the node dynamics of complex network is released. To demonstrate the validity of the proposed method, the examples for the synchronization of systems with the chaotic and hyper-chaotic node dynamics are presented. (C) 2013 Elsevier B. V. All rights reserved.
引用
收藏
页码：1496 / 1506
页数：11
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