Global synchronization of two parametrically excited systems using active control

被引：62
|
作者：
Lei, YM [1 ]
Xu, W
Shen, JW
Fang, T
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
[2] Northwestern Polytech Univ, Dept Engn Mech, Xian 710072, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 28卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.chaos.2005.05.043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we apply an active control technique to synchronize a kind of two parametrically excited chaotic systems. Based on Lyapunov stability theory and Routh-Hurwitz criteria, some generic sufficient conditions for global asymptotic synchronization are obtained. Illustrative examples on synchronization of two Duffing systems subject to a harmonic parametric excitation and that of two parametrically excited chaotic pendulums are considered here. Numerical simulations show the validity and feasibility of the proposed method. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：428 / 436
页数：9
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