Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-order constrained variational problems on Lie algebroids:
  applications to optimal control   The aim of this work is to study, from an intrinsic and geometric point of
view, second-order constrained variational problems on Lie algebroids, that is,
optimization problems defined by a cost functional which depends on
higher-order derivatives of admissible curves on a Lie algebroid. Extending the
classical Skinner and Rusk formalism for the mechanics in the context of Lie
algebroids, for second-order constrained mechanical systems, we derive the
corresponding dynamical equations. We find a symplectic Lie subalgebroid where,
under some mild regularity conditions, the second-order constrained variational
problem, seen as a presymplectic Hamiltonian system, has a unique solution. We
study the relationship of this formalism with the second-order constrained
Euler-Poincar\'e and Lagrange-Poincar\'e equations, among others. Our study is
applied to the optimal control of mechanical systems.

7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ