Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonuniform Coverage Control on the Line   This paper investigates control laws allowing mobile, autonomous agents to
optimally position themselves on the line for distributed sensing in a
nonuniform field. We show that a simple static control law, based only on local
measurements of the field by each agent, drives the agents close to the optimal
positions after the agents execute in parallel a number of
sensing/movement/computation rounds that is essentially quadratic in the number
of agents. Further, we exhibit a dynamic control law which, under slightly
stronger assumptions on the capabilities and knowledge of each agent, drives
the agents close to the optimal positions after the agents execute in parallel
a number of sensing/communication/computation/movement rounds that is
essentially linear in the number of agents. Crucially, both algorithms are
fully distributed and robust to unpredictable loss and addition of agents.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: stat