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math.OC2014
Classification of extremals in a simplified Goddard model on the maximal height of rocket flight
Andrei Dmitruk, Ivan Samylovskiy
We consider a problem on maximizing the height of vertical flight of a material point ("meteorological rocket") in the presence of a nonlinear friction and a constant flat gravity…
math.OC2014
On the proof of Pontryagin's maximum principle by means of needle variations
Andrei Dmitruk, Nikolai Osmolovskii
We propose a proof of the maximum principle for the general Pontryagin type optimal control problem, based on packages of needle variations. The optimal control problem is first re…