How to Run 100 Meters

DOI10.1137/16M1081919zbMath1372.49024arXiv1606.09497OpenAlexW2963586121MaRDI QIDQ5348490

Amandine Aftalion

Publication date: 18 August 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.09497

zbMATH Keywords

optimal controlstate constraintanaerobic energysingular arcrunning race

Mathematics Subject Classification ID

Newton-type methods (49M15) 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)

Related Items (4)

Linear turnpike theorem ⋮ Asymptotic solution of a boundary value problem for a spring-mass model of legged locomotion ⋮ Pace and motor control optimization for a runner ⋮ Nash equilibrium in a stochastic model of two competing athletes

Uses Software

• Ipopt
• Bocop

Cites Work

• How to identify the physiological parameters and run the optimal race
• A mathematical method for the force and energetics in competitive running
• The optimal strategy for running a race (a mathematical model for world records from 50 m to 275 km)
• Optimization models for the force and energy in competitive running
• Runge-Kutta methods in optimal control and the transformed adjoint system
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Optimal Velocity in a Race
• Optimization of Running Strategies Based on Anaerobic Energy and Variations of Velocity

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