Projects per year

## Personal profile

### Research interests

Vladimir Gaitsgory is an applied mathematician with broad areas of interest in control, optimisation (operations research), dynamical systems and games theories, and their applications. His most important contributions are in the areas of singularly perturbed (SP) controlled dynamical systems and SP Markov Decision processes and mathematical programming problems. He has authored and co-authored three research monographs and numerous papers (for more details, please see his CV). He has attracted a significant ARC funding to support his research including ARC Discovery Outstanding Researcher Award DORA (2013-2015).

### Education/Academic qualification

Applied Mathematics , PhD, Institute for System Studies of the USSR Academy of Science (Moscow)

Automatic Control , M.Sc., Leningrad Polytechnic Institute

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## Projects 2014 2019

## Averaging and linear programming based approaches to singularly perturbed control systems

15/07/19 → 31/12/19

Project: Other

## Perturbations in complex systems and games systems

Gaitsgory, V., Filar, J., Ejov, V. & Roddick, J.

1/01/15 → …

Project: Research

## Research Outputs 1985 2019

## 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., 1 Apr 2019, In : Discrete and Continuous Dynamical Systems - Series B. 24, 4, p. 1743-1767 25 p.Research output: Contribution to journal › Article › Research › peer-review

## Linear programming formulation of long-run average optimal control problem

Borkar, V. S. & Gaitsgory, V., Apr 2019, In : Journal of Optimization Theory and Applications. 181, 1, p. 101-125 25 p.Research output: Contribution to journal › Article › Research › peer-review

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

Borkar, V. S., Gaitsgory, V. & Shvartsman, I., 21 May 2019, In : SIAM Journal on Control and Optimization. 57, 3, p. 1783-1817 35 p.Research output: Contribution to journal › Article › Research › peer-review

## Stabilization of strictly dissipative discrete time systems with discounted optimal control

Gaitsgory, V., Grüne, L., Höger, M., Kellett, C. M. & Weller, S. R., 1 Jul 2018, In : Automatica. 93, p. 311-320 10 p.Research output: Contribution to journal › Article › Research › peer-review

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

Gaitsgory, V., Parkinson, A. & Shvartsman, I., 1 Dec 2017, In : Discrete and Continuous Dynamical Systems - Series B. 22, 10, p. 3821-3838 18 p.Research output: Contribution to journal › Article › Research › peer-review