The optimal runner: A control problem with phase constraint (Q687236)
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scientific article; zbMATH DE number 429279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The optimal runner: A control problem with phase constraint |
scientific article; zbMATH DE number 429279 |
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The optimal runner: A control problem with phase constraint (English)
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1 November 1993
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The author investigates a simple mathematical model of physiological processes of race running. The above model is described by a system of two differential equations with the velocity and the energy of a runner as the state variables. The optimal control strategy to run a prescribed distance in least time is looking for. The solution based on Pontryagin maximum principle is given.
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physiological processes
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Pontryagin maximum principle
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