NDLI: Consensus value of multi-agent networked systems with time-delay

Content Provider	IEEE Xplore Digital Library
Author	Fuxiao Tan Derong Liu Xinping Guan
Copyright Year	2009
Description	Author affiliation: Key Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing, China (Derong Liu) \|\| College of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei, China (Fuxiao Tan; Xinping Guan)
Abstract	In this paper, we investigate two classes of consensus protocols for networked multi-agent systems: linear time-invariant (LTI) systems and linear time-delay systems. Based on the topology of multi-agent systems, the first-order integrator model is developed. The digraph (directed graph) is employed to show the topology of networked systems, and then a consensus convergence criterion is established. For LTI systems, we prove that their consensus value will converge globally asymptotically to the convex hull of initial states. By solving a set of linear equations, we get the convex combinations of equilibria, and we obtain the convex value of continuous system. If the topology is fixed and time-invariant, the consensus value of the linear time-delay system is also the convex hull of the initial states and is identical to the LTI system. Finally, a network of six agents is presented to show the effectiveness of the results of this paper.
Starting Page	179
Ending Page	184
File Size	2741811
Page Count	6
File Format	PDF
ISBN	9781424435401
DOI	10.1109/SOLI.2009.5203926
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-07-22
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sufficient conditions Multiagent systems Protocols Network topology Continuous time systems Educational institutions Distributed computing Motion control Equations Convergence
Content Type	Text
Resource Type	Article

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