Synchronization of complex dynamical networks via impulsive control

被引：110
|
作者：
Zhang, Gang [2 ,3 ]
Liu, Zengrong [1 ]
Ma, Zhongjun [4 ]
机构：
[1] Shanghai Univ, Inst Syst Biol, Shanghai 200444, Peoples R China
[2] Shijiazhung Coll, Dept Math, Shijiazhuang 050035, Peoples R China
[3] Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100022, Peoples R China
[4] Guilin Univ Elect Technol, Coll Math & Comp Sci, Guilin 541004, Peoples R China
来源：
CHAOS | 2007年 / 17卷 / 04期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1063/1.2803894
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the problem of synchronization in complex dynamical networks. Based on the stability theory for impulsive differential equations, an impulsive control scheme is proposed to achieve impulsive synchronization for complex dynamical networks with unknown coupling. The synchronization strategy considers the influence of all nodes in the dynamical network and the effect intensity of every node to network synchronization relies on its weight in the network. For practical problems, by choosing appropriately the weights of the nodes in the network, network synchronization can be achieved by only a few useful nodes. Simulated examples are provided by using the chaotic Chua system as nodes of the dynamical network, and the effectiveness of the proposed impulsive control are demonstrated. (c) 2007 American Institute of Physics.
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页数：9
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