Optimization of Running Strategies Based on Anaerobic Energy and Variations of Velocity
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Publication:5173242
DOI10.1137/130932697zbMath1307.49002OpenAlexW2076925213MaRDI QIDQ5173242
Amandine Aftalion, Joseph Frédéric Bonnans
Publication date: 9 February 2015
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/130932697
Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Biology, chemistry, medicine (aspects of mathematics education) (97M60)
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How to identify the physiological parameters and run the optimal race ⋮ Optimization of running strategies according to the physiological parameters for a two-runners model ⋮ Second order analysis of control-affine problems with scalar state constraint ⋮ How to Run 100 Meters ⋮ Linear turnpike theorem ⋮ Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint ⋮ Pace and motor control optimization for a runner ⋮ Nash equilibrium in a stochastic model of two competing athletes
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