On the inverse optimal control problems of the human locomotion: stability and robustness of the minimizers - Archive ouverte HAL Access content directly
Journal Articles Journal of Mathematical Sciences Year : 2013

On the inverse optimal control problems of the human locomotion: stability and robustness of the minimizers

(1, 2) , (3, 4) , (1)
1
2
3
4

Abstract

In recent papers models of the human locomotion by means of an optimal control problem have been proposed. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem whose cost has to be determined. The purpose of the present paper is to analyze the class of optimal control problems defined in this way. We prove strong convergence result for their solutions on the one hand for perturbations of the initial and final points (stability), and on the other hand for perturbations of the cost (robustness).
Fichier principal
Vignette du fichier
chittaro_jean_mason.pdf (239.74 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00774720 , version 1 (15-01-2013)

Identifiers

Cite

Francesca Chittaro, Frédéric Jean, Paolo Mason. On the inverse optimal control problems of the human locomotion: stability and robustness of the minimizers. Journal of Mathematical Sciences, 2013, 195 (3), pp.269-287. ⟨10.1007/s10958-013-1579-z⟩. ⟨hal-00774720⟩
742 View
300 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More