Generalized matrix projective synchronization of general colored networks with different-dimensional node dynamics

被引：31
作者：
Wu, Zhaoyan [1 ]
Xu, Xinjian [2 ,3 ]
Chen, Guanrong [4 ]
Fu, Xinchu [2 ,3 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[3] Shanghai Univ, Inst Syst Sci, Shanghai 200444, Peoples R China
[4] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 09期
关键词：
COMPLEX; GRAPHS;
D O I：
10.1016/j.jfranklin.2014.07.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the generalized matrix projective synchronization problem of general colored networks with different-dimensional node dynamics. A general colored network consists of colored nodes and edges, where the dimensions of colored node dynamics can be different in addition to the difference of the inner coupling matrices between any pair of nodes. For synchronizing a colored network onto a desired orbit with respect to the given matrices, open-plus-closed-loop controllers are designed. The closed-loop controllers are chosen as adaptive feedback and intermittent controllers, respectively. Based on the Lyapunov stability theory and mathematical induction, corresponding synchronization criteria are derived. Noticeably, many existing synchronization settings can be regarded as special cases of the present synchronization framework. Numerical simulations are provided to verify the theoretical results. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：4584 / 4595
页数：12
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