2007
DOI: 10.1016/j.physa.2006.08.015
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Leader-following coordination of multi-agent systems with coupling time delays

Abstract: In this paper, we consider a leader-following consensus problem of a group of autonomous agents with time-varying coupling delays. Two different cases of coupling topologies are investigated. At first, a necessary and sufficient condition is proved in the case when the interconnection topology is fixed and directed. Then a sufficient condition is proposed in the case when the coupling topology is switched and balanced. Numerical examples are also given to illustrate our results.

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Cited by 891 publications
(479 citation statements)
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“…Proof. Following the same procedure as lemma 4 in the work of Hu and Hong, 35 it can be proved by Lemma 1.…”
Section: Algebraic Graph Theorymentioning
confidence: 89%
“…Proof. Following the same procedure as lemma 4 in the work of Hu and Hong, 35 it can be proved by Lemma 1.…”
Section: Algebraic Graph Theorymentioning
confidence: 89%
“…To achieve the match, all s are also required to be known and extra data storage is required. Compare with the methods in [11], [17] and [2], the approach used in this paper has some advantages.…”
Section: Synchronization Controllermentioning
confidence: 99%
“…Due to the technological advances in communication and computation, distributed coordination of networks of dynamic agents has attracted several researchers in many fields in recent years and many results have been obtained in [1][2][3][4][5][6][7][8][9]. In real systems, information interchange between each agent is often associated with time delays and the network graph should be switching as communication links in a multi-agent system may experience failures or recons-tructions.…”
Section: Introductionmentioning
confidence: 99%
“…Among many of the researches, the consensus problem is one of the most widely studied issues which is that each agent updates its control input based on the information of its neighbors in such a way that all agents get to a common value in final. Leader-following multi agent consensus has been actively studied and get a series of splendid achievements [1][2][3]. In [1], Gang et al investigated distributed controller design for a leader-follower network with communication delays.…”
Section: Introductionmentioning
confidence: 99%