Consensus in Directed Networks of Agents With Nonlinear Dynamics

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 con...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2011-06, Vol.56 (6), p.1436-1441
Main Authors: Yu, Wenwu, Chen, Guanrong, Cao, Ming
Format: Article
Language:English
Subjects:
Algebraic graph theory
Applied sciences
Artificial intelligence
complex network
Complex networks
Computer science
control theory
systems
Computer systems and distributed systems. User interface
consensus
Eigenvalues and eigenfunctions
Exact sciences and technology
Flows in networks. Combinatorial problems
Information retrieval. Graph
Laplace equations
Lyapunov function
Manifolds
Multiagent systems
Nonlinear dynamical systems
Operational research and scientific management
Operational research. Management science
Software
Synchronization
Theoretical computing
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2011.2112477