Adaptive impulsive synchronization of uncertain chaotic systems

被引:44
|
作者
Chen, Yen-Sheng [1 ,2 ]
Hwang, Robert R. [2 ]
Chang, Chien-Cheng [1 ,3 ]
机构
[1] Natl Taiwan Univ, Inst Appl Mech, Taipei 106, Taiwan
[2] Acad Sinica, Inst Phys, Taipei 115, Taiwan
[3] Acad Sinica, Div Mech, Res Ctr Appl Sci, Taipei 115, Taiwan
关键词
Impulsive synchronization; Adaptation; Uncertainty; STABILIZATION;
D O I
10.1016/j.physleta.2010.03.046
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Letter develops an adaptive impulsive scheme that includes a sole restriction criterion to achieve synchronization of chaotic nonlinear systems with unknown parameters. The system is assumed to satisfy the local Lipschitz condition while a Lipschitz constant and the uncertain system parameters are estimated by augmented adaptation equations. Adaptation of all parameters is proven to converge exponentially. The significance of the related control parameters and their margins in the criterion is also discussed in detail. The Lorenz system has been simulated to illustrate the theoretical analysis. (C) 2010 Published by Elsevier B.V.
引用
收藏
页码:2254 / 2258
页数:5
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