Mathematics – Optimization and Control
Scientific paper
2010-06-20
Mathematics
Optimization and Control
Scientific paper
In recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We discuss the modeling of both the dynamical system and the cost to be minimized, and we analyze the corresponding optimal synthesis. The main results describe the asymptotic behavior of the optimal trajectories as the target point goes to infinity.
Chitour Yacine
Jean Frédéric
Mason Paolo
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