Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Skinner-Rusk Unified Formalism for Optimal Control Systems and
  Applications   A geometric approach to time-dependent optimal control problems is proposed.
This formulation is based on the Skinner and Rusk formalism for Lagrangian and
Hamiltonian systems. The corresponding unified formalism developed for optimal
control systems allows us to formulate geometrically the necessary conditions
given by Pontryagin's Maximum Principle, provided that the differentiability
with respect to controls is assumed and the space of controls is open.
Furthermore, our method is also valid for implicit optimal control systems and,
in particular, for the so-called descriptor systems (optimal control problems
including both differential and algebraic equations).

1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an