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

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).
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00774720
Contributor : Paolo Mason <>
Submitted on : Tuesday, January 15, 2013 - 10:10:33 AM
Last modification on : Wednesday, July 3, 2019 - 10:48:04 AM
Long-term archiving on : Tuesday, April 16, 2013 - 3:52:23 AM

File

chittaro_jean_mason.pdf
Files produced by the author(s)

Identifiers

Citation

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, Springer Verlag (Germany), 2013, 195 (3), pp.269-287. ⟨10.1007/s10958-013-1579-z ⟩. ⟨hal-00774720⟩

Share

Metrics

Record views

1097

Files downloads

350