期刊
PHYSICS LETTERS A
卷 373, 期 35, 页码 3122-3127出版社
ELSEVIER
DOI: 10.1016/j.physleta.2009.06.054
关键词
Consensus; Distributed control; Nonlinear protocol; Directed graphs; Spanning tree; Asymptotical or exponential; Pinning control
资金
- National Science Foundation of China [60774074, SGST 09DZ2272900]
- China Postdoctoral Science Foundation [KLH1207001]
- Shanghai Pujiang Program [08PJ14019]
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.
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