TY - JOUR
T1 - On inverse optimal control problems of human locomotion
T2 - Stability and robustness of the minimizers
AU - Chittaro, F. C.
AU - Jean, F.
AU - Mason, P.
N1 - Publisher Copyright:
© 2013 Springer Science+Business Media New York.
PY - 2013/12/1
Y1 - 2013/12/1
N2 - In recent papers, models of human locomotion by means of optimal control problems 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 results 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).
AB - In recent papers, models of human locomotion by means of optimal control problems 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 results 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).
U2 - 10.1007/s10958-013-1579-z
DO - 10.1007/s10958-013-1579-z
M3 - Article
AN - SCOPUS:84886082226
SN - 1072-3374
VL - 195
SP - 269
EP - 287
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
IS - 3
ER -