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Optimization models for the force and energy in competitive sports. (English) Zbl 0626.49009
A general optimal control model for running and swimming is developed, whose principal parameters are the energy reserves, the breathing rate and the force. This model is then applied to the world records in these disciplines. It describes the data very well and the parameters employed have values, which agree closely with those obtained by other means.

49J99 Existence theories in calculus of variations and optimal control
92Cxx Physiological, cellular and medical topics
93C15 Control/observation systems governed by ordinary differential equations
49K15 Optimality conditions for problems involving ordinary differential equations
Full Text: DOI
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