Journal ArticleDOI
Consensus in Directed Networks of Agents With Nonlinear Dynamics
Wenwu Yu,Guanrong Chen,Ming Cao +2 more
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This technical note studies the consensus problem for cooperative agents with nonlinear dynamics in a directed network through a combination of the tools of complex analysis, local consensus manifold approach, and Lyapunov methods.Abstract:
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.read more
Citations
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Journal ArticleDOI
An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination
TL;DR: In this article, the authors reviewed some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006 and proposed several promising research directions along with some open problems that are deemed important for further investigations.
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An Overview of Recent Progress in the Study of Distributed Multi-agent Coordination
TL;DR: In this paper, the authors reviewed some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006, and proposed several promising research directions along with some open problems that are deemed important for further investigations.
Journal ArticleDOI
Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics
TL;DR: A distributed adaptive law is proposed for each follower based on local information of neighboring agents and the leader if this follower is an informed agent and a distributed leader–follower consensus problem in multi-agent systems with unknown nonlinear dynamics is investigated.
Journal ArticleDOI
Synchronization via pinning control on general complex networks
TL;DR: This paper studies synchronization via pinning control on general complex dynamical networks, such as strongly connected networks, networks with a directed spanning tree, weaklyconnected networks, and directed forests, finding that the strongly connected components with very few connections from other components should be controlled and the components with many connections fromother components can achieve synchronization even without controls.
Journal ArticleDOI
Consensus of multi-agent systems with nonlinear dynamics and sampled-data information: a delayed-input approach
TL;DR: Theoretical analysis on this time-delayed system shows that consensus with asymptotic time-varying velocities in a strongly connected network can be achieved over some suitable sampled-data intervals.
References
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Journal ArticleDOI
Consensus problems in networks of agents with switching topology and time-delays
TL;DR: A distinctive feature of this work is to address consensus problems for networks with directed information flow by establishing a direct connection between the algebraic connectivity of the network and the performance of a linear consensus protocol.
Book
Algebraic Graph Theory
Chris Godsil,Gordon F. Royle +1 more
TL;DR: The Laplacian of a Graph and Cuts and Flows are compared to the Rank Polynomial.
Journal ArticleDOI
Coordination of groups of mobile autonomous agents using nearest neighbor rules
Ali Jadbabaie,Jie Lin,A.S. Morse +2 more
TL;DR: A theoretical explanation for the observed behavior of the Vicsek model, which proves to be a graphic example of a switched linear system which is stable, but for which there does not exist a common quadratic Lyapunov function.
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