3 papers
math.OC2019
Reply to Comments on Our Paper "On the Relation Between Two Approaches to Necessary Optimality Conditions in Problems with State Constraints"
Andrei Dmitruk, Ivan Samylovskiy
We consider some critical claims concerning our above paper, and reply to these claims.
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…