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Leader-following coordination of multi-agent systems with coupling time delays

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arxiv 0705.0401 v1 pith:5UPMJYBE submitted 2007-05-03 math-ph math.MP

Leader-following coordination of multi-agent systems with coupling time delays

classification math-ph math.MP
keywords couplingcaseconditiondelaysleader-followingsufficienttopologywhen
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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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