14 citations · 14 across the 4 of their papers we have counts for
4 papers
Optimal synthesis in the simplest time-optimal problem with a linear state constraint
Andrei Dmitruk, Ivan Samylovskiy
We consider the time-optimal problem for a classical system of "double integrator" under the presence of a linear state constraint. By using the Maximum Principle of Dubovitskii an…
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.
On the Relation Between Two Approaches to Necessary Optimality Conditions in Problems with State Constraints
Andrei Dmitruk, Ivan Samylovskiy
We consider a class of optimal control problems with a state constraint and investigate a trajectory with a single boundary interval (subarc). Following R.V. Gamkrelidze, we differ…
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…