THE PROBLEM OF OPTIMAL CONTROL IN THE RUN MODEL
Abstract
The article is devoted to the search of optimal control in a model of a middle-distance running in order to minimize the time spent. Control is the force exerted by a sportsman per unit mass - or rather, the acceleration. The initial conditions and constraints on the control are prescribed. In the article optimal control problem is reduced to a fixed-time one by introducing the coefficient of compression of time, which is the second controlling factor.
About the Authors
N. I. Ovsyannikova
МГТУ ГА
Russian Federation
Russian Federation
A. A. Popova
МГУ имени М.В. Ломоносова
Russian Federation
Russian Federation
References
1. Andreeva E.A., Tciruleva V.M. The calculus of variations and optimization techniques: the manual. Moscow: Higher School. 2006. 584 p.
2. Andreeva E.A., Semykina N.A. Optimal control: the manual. Tver: Tver branch of MESI. 2006. 264 p.
3. Behncke H. A mathematical model for the force and energetics in competitive running. J. Math. Biol. 1993. Vol. 31. Pp. 953-978.
Review
For citations:
Ovsyannikova N.I., Popova A.A. THE PROBLEM OF OPTIMAL CONTROL IN THE RUN MODEL. Civil Aviation High Technologies. 2016;(224):81-87.
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