49 citations · 63 across the 7 of their papers we have counts for
7 papers
Local Minimum Principle for an Optimal Control Problem with a Nonregular Mixed Constraint
A. V. Dmitruk, N. P. Osmolovskii
We consider the simplest optimal control problem with one nonregular mixed inequality constraint, i.e. when its gradient in the control can vanish on the zero surface. Using the Du…
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…
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…
Quadratic order conditions for bang-singular extremals
Maria Soledad Aronna, J. Frederic Bonnans, Andrei V. Dmitruk +1
This paper deals with optimal control problems for systems affine in the control variable. We consider nonnegativity constraints on the control, and finitely many equality and ineq…