3 papers
math.OC2019
Global controllability tests for geometric hybrid control systems
M. Barbero Liñán, J. Cortés, D. Martín de Diego +2
Hybrid systems are characterized by having an interaction between continuous dynamics and discrete events. The contribution of this paper is to provide hybrid systems with a novel…
math-ph2018
Morse families and Dirac systems
M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés +1
Dirac structures and Morse families are used to obtain a geometric formalism that unifies most of the scenarios in mechanics (constrained calculus, nonholonomic systems, optimal co…
math.OC2008
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…