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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 291, Pages 128–137
DOI: https://doi.org/10.1134/S0371968515040111 (Mi tm3678) 		 
Application of optimal control to a biomechanics model

A. A. Krasovskii

International Institute for Applied Systems Analysis, Laxenburg, Austria
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DOI: https://doi.org/10.1134/S0371968515040111
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.
Received: May 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 291, Pages 118–126
DOI: https://doi.org/10.1134/S0081543815080118
Bibliographic databases:
Document Type: Article
UDC: 517.977+612.76
Language: Russian
Citation: A. A. Krasovskii, “Application of optimal control to a biomechanics model”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 128–137; Proc. Steklov Inst. Math., 291 (2015), 118–126
Citation in format AMSBIB
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\paper Application of optimal control to a biomechanics model
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\bookinfo Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 291
\pages 128--137
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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