Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry Reduction in Optimal Control of Multiagent Systems on Lie
  Groups   We study the reduction of degrees of freedom for the equations that determine
necessary optimality conditions for extrema in an optimal control problem for a
multiagent system by exploiting the physical symmetries of agents, where the
kinematics of each agent is given by a left-invariant control system. Reduced
optimality conditions are obtained using techniques from variational calculus
and Lagrangian mechanics. A Hamiltonian formalism is also studied, where the
problem is explored through an application of Pontryagin's maximum principle
for left-invariant systems, and the optimality conditions are obtained as
integral curves of a reduced Hamiltonian vector field. We apply the results to
an energy-minimum control problem for multiple unicycles.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
27
The categories of this paper are: comp-gas
4
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: alg-geom
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an