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math-ph2002★ 54 cited
Lagrangian-Hamiltonian unified formalism for field theory
A. Echeverría-Enríquez, C. López, J. Marín-Solano +2
The Rusk-Skinner formalism was developed in order to give a geometrical unified formalism for describing mechanical systems. It incorporates all the characteristics of Lagrangian a…
math-ph2002★ 28 cited
Geometric reduction in optimal control theory with symmetries
A. Echeverría-Enríquez, J. Marín-Solano, M. C. Muñoz-Lecanda +1
A general study of symmetries in optimal control theory is given, starting from the presymplectic description of this kind of system. Then, Noether's theorem, as well as the corres…