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Zeitschrift für Analysis und ihre Anwendungen


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Volume 12, Issue 2, 1993, pp. 379–391
DOI: 10.4171/ZAA/558

Published online: 1993-06-30

The Optimal Runner: a Control Problem with Phase Constraint

Christoph Hamburger[1]

(1) Universität Bonn, Germany

Assuming a simple biophysical model and using the Pontryagin maximum principle, we find the optimal strategy to run a race.

Keywords: running, race, optimal velocity, phase constraint, mazimum principle

Hamburger Christoph: The Optimal Runner: a Control Problem with Phase Constraint. Z. Anal. Anwend. 12 (1993), 379-391. doi: 10.4171/ZAA/558