Research Output per year

## Fingerprint Dive into the research topics where Ilya Shvartsman is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Maximum principle
Engineering & Materials Science

Optimal Control Problem
Mathematics

Optimal Control
Mathematics

Necessary Optimality Conditions
Mathematics

Maximum Principle
Mathematics

Second-order Optimality Conditions
Mathematics

State Constraints
Mathematics

Discrete-time
Mathematics

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## Research Output 2002 2019

2
Citations
(Scopus)

## Linear programming based optimality conditions and approximate solution of a deterministic infinite horizon discounted optimal control problem in discrete time

Gaitsgory, V., Parkinson, A. & Shvartsman, I., Apr 2019, In : Discrete and Continuous Dynamical Systems - Series B. 24, 4, p. 1743-1767 25 p.Research output: Contribution to journal › Review article

Infinite Horizon

Optimality Conditions

Linear programming

Optimal Control Problem

Discrete-time

## LP formulations of discrete time long-run average optimal control problems: The nonergodic case

Borkar, V. S., Gaitsgory, V. & Shvartsman, I., Jan 1 2019, In : SIAM Journal on Control and Optimization. 57, 3, p. 1783-1817 35 p.Research output: Contribution to journal › Article

Long-run

Linear programming

Optimal Control Problem

Discrete-time

Formulation

5
Citations
(Scopus)

## Linear programming formulations of deterministic infinite horizon optimal control problems in discrete time

Gaitsgory, V., Parkinson, A. & Shvartsman, I., Dec 2017, In : Discrete and Continuous Dynamical Systems - Series B. 22, 10, p. 3821-3838 18 p.Research output: Contribution to journal › Article

Infinite Horizon

Linear programming

Optimal Control Problem

Discounting

Discrete-time

1
Citation
(Scopus)

## Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints

Arutyunov, A. V., Shvartsman, I. A. & Zhukovskaya, Z. T., Jul 1 2017, In : Nonlinear Analysis, Theory, Methods and Applications. 157, p. 20-43 24 p.Research output: Contribution to journal › Article

Finite-dimensional Approximation

Second-order Optimality Conditions

Local Minimizer

Necessary Optimality Conditions

Optimal Control Problem

1
Citation
(Scopus)

## Linear programming formulation of a discrete time infinite horizon optimal control problem with time discounting criterion

Gaitsgory, V., Parkinson, A. & Shvartsman, I., Dec 27 2016,*2016 IEEE 55th Conference on Decision and Control, CDC 2016.*Institute of Electrical and Electronics Engineers Inc., p. 4481-4483 3 p. 7798950. (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Discounting

Infinite Horizon

Linear programming

Optimal Control Problem

Discrete-time