Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Tool for Analysis and Synthesis of Heterogeneous Multi-agent Systems
  under Rank-deficient Coupling   The behavior of heterogeneous multi-agent systems is studied when the
coupling matrices are possibly all different and/or singular, that is, its rank
is less than the system dimension. Rank-deficient coupling allows exchange of
limited state information, which is suitable for the study of multi-agent
systems under output coupling. We present a coordinate change that transforms
the heterogeneous multi-agent system into a singularly perturbed form. The slow
dynamics is still a reduced-order multi-agent system consisting of a weighted
average of the vector fields of all agents, and some sub-dynamics of agents.
The weighted average is an emergent dynamics, which we call a blended dynamics.
By analyzing or synthesizing the blended dynamics, one can predict or design
the behavior of a heterogeneous multi-agent system when the coupling gain is
sufficiently large. For this result, stability of the blended dynamics is
required. Since stability of the individual agent is not asked, the stability
of the blended dynamics is the outcome of trading off the stability among the
agents. It can be seen that, under the stability of the blended dynamics, the
initial conditions of the individual agents are forgotten as time goes on, and
thus, the behavior of the synthesized multi-agent system is initialization-free
and is suitable for plug-and-play operation. As a showcase, we apply the
proposed tool to four application problems; distributed state estimation for
linear systems, practical synchronization of heterogeneous Van der Pol
oscillators, estimation of the number of nodes in a network, and a problem of
distributed optimization.

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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph