Consensus in Directed Networks of Agents With Nonlinear Dynamics

被引：336
作者：
Yu, Wenwu [1 ,2 ]
Chen, Guanrong [3 ]
Cao, Ming [4 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
[2] RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[4] Univ Groningen, ITM, Fac Math & Nat Sci, Groningen, Netherlands
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 06期
关键词：
Algebraic graph theory; complex network; consensus; Lyapunov function; synchronization; CHANGING ENVIRONMENT; MULTIAGENT SYSTEMS; SYNCHRONIZATION; STABILITY;
D O I：
10.1109/TAC.2011.2112477
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 technical note studies the consensus problem for cooperative agents with nonlinear dynamics in a directed network. Both local and global consensus are defined and investigated. Techniques for studying the synchronization in such complex networks are exploited to establish various sufficient conditions for reaching consensus. The local consensus problem is first studied via a combination of the tools of complex analysis, local consensus manifold approach, and Lyapunov methods. A generalized algebraic connectivity is then proposed to study the global consensus problem in strongly connected networks and also in a broad class of networks containing spanning trees, for which ideas from algebraic graph theory, matrix theory, and Lyapunov methods are utilized.
引用
收藏
页码：1436 / 1441
页数：7
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