Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leader-following coordination of multi-agent systems with coupling time
  delays   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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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat