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This paper deals with optimal control problems for systems affine in the control variable. We have nonnegativity constraints on the control, and finitely many equality and inequality constraints onâ€¦ (More)

- Andrei V. Dmitruk, Ivan Samylovskiy
- 2013 European Control Conference (ECC)
- 2013

We consider a problem of maximization of the distance traveled by a material point in the presence of a nonlinear friction under a bounded thrust and fuel expenditure. Using the maximum principle weâ€¦ (More)

- Andrei V. Dmitruk, Ivan Samylovskiy
- 2016 International Conference Stability andâ€¦
- 2016

We consider a class of optimal control problems with a scalar state constraint. For a trajectory with a single boundary subarc, we first obtain, using a special technique (two-stage var iationâ€¦ (More)

We consider a problem of maximization of the distance traveled by a material point in the presence of a nonlinear friction under a bounded thrust and fuel expenditure. Using the maximum principle weâ€¦ (More)

- Andrei V. Dmitruk, Ivan Samylovskiy
- J. Optimization Theory and Applications
- 2017

- Andrei V. Dmitruk, Ivan Samylovskiy
- 2018 14th International Conference "Stability andâ€¦
- 2018

We consider a class of optimal control problems with a scalar state constraint and investigate trajectory with a smooth contact with a single boundary subarc. For trajectory of this special type, weâ€¦ (More)

- Andrei V. Dmitruk, Ivan Samylovskiy
- 2013 9th Asian Control Conference (ASCC)
- 2013

We consider a problem of maximization of the distance traveled by a material point in the presence of a nonlinear friction under a bounded thrust and fuel expenditure. Using the maximum principle weâ€¦ (More)

- Andrei V. Dmitruk, Alina Vdovina
- 2016 International Conference Stability andâ€¦
- 2016

A one-dimensional optimal control problem with a state-dependent cost and a unimodular integrand is considered. It is shown that, under some standard assumptions, this problem can be solved withoutâ€¦ (More)

- Andrei V. Dmitruk, Nikolai P. Osmolovskii
- System Modelling and Optimization
- 2015

- Andrei V. Dmitruk, Nikolai P. Osmolovskii
- 2017 Constructive Nonsmooth Analysis and Relatedâ€¦
- 2017

We consider a general optimization problem with equality and inequality constraints in a Banach space, the latter being given by closed convex cones with nonempty interiors. A necessary optimalityâ€¦ (More)