Consensus problem in directed networks of multi-agents via nonlinear protocols

被引:141
作者
Liu, Xiwei [1 ]
Chen, Tianping [1 ]
Lu, Wenlian [1 ]
机构
[1] Fudan Univ, Sch Math, Shanghai Key Lab Contemporary Appl Math, Key Lab Nonlinear Sci Chinese Minist Educ, Shanghai 200433, Peoples R China
基金
中国博士后科学基金; 美国国家科学基金会;
关键词
Consensus; Distributed control; Nonlinear protocol; Directed graphs; Spanning tree; Asymptotical or exponential; Pinning control; SYNCHRONIZATION ANALYSIS; EXPONENTIAL SYNCHRONIZATION; DYNAMICAL NETWORKS; COMPLEX NETWORKS; SYSTEMS; STABILITY; ALGORITHMS;
D O I
10.1016/j.physleta.2009.06.054
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, the consensus problem via distributed nonlinear protocols for directed networks is investigated. Its dynamical behaviors are described by ordinary differential equations (ODEs). Based on graph theory, matrix theory and the Lyapunov direct method, some sufficient conditions of nonlinear protocols guaranteeing asymptotical or exponential consensus are presented and rigorously proved. The main contribution of this work is that for nonlinearly coupled networks, we generalize the results for undirected networks to directed networks. Consensus under pinning control technique is also developed here. Simulations are also given to show the validity of the theories. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:3122 / 3127
页数:6
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