Optimal Control of Newton-Type Problems of Minimal Resistance

Details Optimal Control of Newton-Type Problems of Minimal Resistance Optimal Control of Newton-Type Problems of Minimal Resistance

2004-04-12

arxiv.org/abs/math/0404237v1

Rend. Sem. Mat. Univ. Pol. Torino, Vol. 64 (2006) No.1, pp. 79--96

Mathematics

Optimization and Control

Accepted for publication in the Rendiconti del Seminario Matematico dell'Universita e del Politecnico di Torino

Scientific paper

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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