Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence Tools for Consensus in Multi-Agent Systems with Switching
  Topologies   We present two main theorems along the lines of Lyapunov's second method that
guarantee asymptotic state consensus in multi-agent systems of agents in R^m
with switching interconnection topologies. The two theorems complement each
other in the sense that the first one is formulated in terms of the states of
the agents in the multi-agent system, whereas the second one is formulated in
terms of the pairwise states for each pair of agents in the multi-agent system.
In the first theorem, under the assumption that the interconnection topology is
uniformly strongly connected and the agents are contained in a compact set, a
strong form of attractiveness of the consensus set is assured. In the second
theorem, under the weaker assumption that the interconnection topology is
uniformly quasi strongly connected, the consensus set is guaranteed to be
uniformly asymptotically stable.

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The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th