103 citations · 950 across the 45 of their papers we have counts for
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Optimal control, contact dynamics and Herglotz variational problem
Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda
In this paper we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin Maximum Principle. As an important result, among others…
Presymplectic high order maximum principle
M. Barbero-Liñán, M. C. Muñoz-Lecanda
Pontryagin's Maximum Principle is an outstanding result for solving optimal control problems by means of optimizing a specific function on some particular variables, the so called…
Strict abnormal extremals in nonholonomic and kinematic control systems
M. Barbero Linan, M. C. Munoz-Lecanda
In optimal control problems, there exist different kinds of extremals, that is, curves candidates to be solution: abnormal, normal and strictly abnormal. The key point for this cla…
Geometric Approach to Pontryagin's Maximum Principle
María Barbero-Liñán, Miguel C. Muñoz-Lecanda
Since the second half of the 20th century, Pontryagin's Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, fi…
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…