103 citations · 950 across the 45 of their papers we have counts for
3 papers · 1 filter
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…
Unified formalism for non-autonomous mechanical systems
María Barbero-Liñán, Arturo Echeverrí a-Enríquez, David Martín de Diego +2
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based…