The dual arc inclusion with differential inclusions

Abstract : This paper continues our study of the minimum time problem with dynamics driven by a particular type of differential inclusion. We prove under certain assumptions that the dual arc associated to an optimal solution and the supergradient of the value function along the solution are intertwined in this new setting. We also derive new optimality conditions that contain nonsmooth features with an additional constancy condition on the Hamiltonian.
Type de document :
Article dans une revue
Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2013, 79, pp.176-189. 〈10.1016/j.na.2012.11.021〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00916116
Contributeur : Estelle Bouzat <>
Soumis le : lundi 9 décembre 2013 - 17:59:37
Dernière modification le : vendredi 27 avril 2018 - 14:42:02

Identifiants

Collections

Citation

Piermarco Cannarsa, Francesco Marino, Peter Wolenski. The dual arc inclusion with differential inclusions. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2013, 79, pp.176-189. 〈10.1016/j.na.2012.11.021〉. 〈hal-00916116〉

Partager

Métriques

Consultations de la notice

186