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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2015 Volume 291, Pages 128–137 (Mi tm3678)

Application of optimal control to a biomechanics model

A. A. Krasovskii

International Institute for Applied Systems Analysis, Laxenburg, Austria

Abstract: A model of sport biomechanics describing short-distance running (sprinting) is developed by applying methods of optimal control. In the considered model, the motion of a sportsman is described by a second-order ordinary differential equation. Two interconnected optimal control problems are formulated and solved: the minimum energy and time-optimal control problems. Based on the comparison with real data, it is shown that the proposed approach to sprint modeling provides realistic results.

UDC: 517.977+612.76

Received: May 15, 2015

DOI: 10.1134/S0371968515040111


 English version:
Proceedings of the Steklov Institute of Mathematics, 2015, 291, 118–126

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