103 citations · 950 across the 45 of their papers we have counts for
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math.OC2007★ 2 cited
Constraint Algorithm for Extremals in Optimal Control Problems
Maria Barbero-Liñan, Miguel C. Muñoz-Lecanda
A geometric method is described to characterize the different kinds of extremals in optimal control theory. This comes from the use of a presymplectic constraint algorithm starting…
math-ph2007★ 37 cited
Skinner-Rusk Unified Formalism for Optimal Control Systems and Applications
M. Barbero-Liñan, A. Echeverria-Enriquez, D. Martin de Diego +2
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…