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Optimal Control of Newton-Type Problems of Minimal Resistance

Delfim F. M. Torres·Alexander Yu. Plakhov
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Abstract

We address Newton-type problems of minimal resistance from an optimal control perspective. It is proven that for Newton-type problems the Pontryagin maximum principle is a necessary and sufficient condition. Solutions are then computed for concrete situations, including the new case when the flux of particles is non-parallel.

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Delfim F. M. Torres, Alexander Yu. Plakhov. 2004-04-12. Optimal Control of Newton-Type Problems of Minimal Resistance. https://arxiv.org/abs/math/0404237

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