Second-order sensitivity relations and regularity of the value function for Mayer's problem in optimal control

Autor: Cannarsa, Piermarco, Frankowska, Hélène, Scarinci, Teresa

This paper investigates the value function, $V$, of a Mayer optimal control problem with the state equation given by a differential inclusion. First, we obtain an invariance property for the proximal and Fr\'echet subdifferentials of $V$ along optima

Externí odkaz: http://arxiv.org/abs/1408.5354

Exterior sphere condition and time optimal control for differential inclusions

Autor: Cannarsa, Piermarco, Nguyen, Khai T.

The minimum time function $T(\cdot)$ of smooth control systems is known to be locally semiconcave provided Petrov's controllability condition is satisfied. Moreover, such a regularity holds up to the boundary of the target under an inner ball assumpt

Externí odkaz: http://arxiv.org/abs/1110.1387

Sensitivity relations for the Mayer problem with differential inclusions

Autor: Piermarco Cannarsa, Teresa Scarinci, Hélène Frankowska

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2015, 21 (3), pp.789-814. ⟨10.1051/cocv/2014050⟩
ESAIM: Control, Optimisation and Calculus of Variations, 2015, 21 (3), pp.789-814. ⟨10.1051/cocv/2014050⟩

In optimal control, sensitivity relations are usually understood as inclusions that identify the pair formed by the dual arc and the Hamiltonian, evaluated along the associated minimizing trajectory, as a suitable generalized gradient of the value fu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ddefbabaa4db54979b4905410a8d228
https://hal.sorbonne-universite.fr/hal-00949021/document