Minimum-time running and swimming: an optimal control approach.

@article{Maroski1996MinimumtimeRA,
  title={Minimum-time running and swimming: an optimal control approach.},
  author={R Maroński},
  journal={Journal of biomechanics},
  year={1996},
  volume={29 2},
  pages={245-9}
}
During analysis of the competitor's velocity in a run, strong assumptions are imposed upon the runner's tactic. It is assumed that the competitor uses his/her maximal propulsive force in short-distance events. The runner's velocity is assumed constant in long-distance races. None of these assumptions is satisfied during middle-distance races. In this study, the competitor's velocity, minimizing the time taken to cover the distance, is determined by means of extremization of linear integrals… CONTINUE READING

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