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

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

2007-05-03

arxiv.org/abs/0705.0401v1

Physics

Mathematical Physics

16 pages,5 figures

Scientific paper

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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