Stability and singular perturbations in constrained Markov decision problems. - Eitan Altman; Vladimir Gaitsgory (IEEE Trans. Autom. Control., 1993)

Suboptimal control of singularly perturbed systems and periodic optimization. - Vladimir Gaitsgory (IEEE Trans. Autom. Control., 1993)

A new reduction technique for a class of singularly perturbed optimal control problems. - Vladimir Gaitsgory (IEEE Trans. Autom. Control., 1995)

Linear-quadratic tracking of coupled slow and fast targets. - Zvi Artstein; Vladimir Gaitsgory (Math. Control. Signals Syst., 1997)

On asymptotic optimization of a class of nonlinear stochastic hybrid systems. - Peng Shi 001; Eitan Altman; Vladimir Gaitsgory (Math. Methods Oper. Res., 1998)

Instability in DOA manifold ambiguity resolution. - Yuri I. Abramovich; Nicholas K. Spencer; Vladimir Gaitsgory (ISSPA, 1999)

The averaging principle for perturbations of continuous time control problems with fast controlled jump parameters. - Rachid El Azouzi; Eitan Altman; Vladimir Gaitsgory (CDC, 2000)

Stability of manifold ambiguity resolution in DOA estimation with nonuniform linear antenna arrays. - Yuri I. Abramovich; Vladimir Gaitsgory; Nicholas K. Spencer (ICASSP, 2000)

On a Class of Nash Equilibria with Memory Strategies for nonzero-Sum differential Games. - Jean-Michel Coulomb; Vladimir Gaitsgory (IGTR, 2000)

Control of singularly perturbed hybrid stochastic systems. - Jerzy A. Filar; Vladimir Gaitsgory; Alain Haurie (IEEE Trans. Autom. Control., 2001)

Multiscale Singularly Perturbed Control Systems: Limit Occupational Measures Sets and Averaging. - Vladimir Gaitsgory; Minh-Tuan Nguyen (SIAM J. Control. Optim., 2002)

On a Representation of the Limit Occupational Measures Set of a Control System with Applications to Singularly Perturbed Control Systems. - Vladimir Gaitsgory (SIAM J. Control. Optim., 2004)

On Existence of Limit Occupational Measures Set of a Controlled Stochastic Differential Equation. - Vivek S. Borkar; Vladimir Gaitsgory (SIAM J. Control. Optim., 2005)

Existence of limit occupational measures set used for averaging of singularly perturbed controlled stochastic differential equations. - Vivek S. Borkar; Vladimir Gaitsgory (CDC, 2006)

Occupational Measures Formulation and Linear Programming Solution of Deterministic Long Run Average Problems of Optimal Control. - Vladimir Gaitsgory; Sergey Rossomakhine (CDC, 2006)

Analysis of TCP-AQM Interaction Via Periodic Optimization and Linear Programming: The Case of Sigmoidal Utility Function. - Konstantin Avrachenkov; Luke Finlay; Vladimir Gaitsgory (NEW2AN, 2006)

Linear Programming Approach to Deterministic Long Run Average Problems of Optimal Control. - Vladimir Gaitsgory; Sergey Rossomakhine (SIAM J. Control. Optim., 2006)

Singular Perturbations in Ergodic Control of Diffusions. - Vivek S. Borkar; Vladimir Gaitsgory (SIAM J. Control. Optim., 2007)

Duality in Linear Programming Problems Related to Deterministic Long Run Average Problems of Optimal Control. - Luke Finlay; Vladimir Gaitsgory; Ivan Lebedev (SIAM J. Control. Optim., 2008)

Duality in linear programming problems related to deterministic long run average problems of optimal control with applications to periodic optimization. - Luke Finlay; Vladimir Gaitsgory; Ivan Lebedev (CDC, 2009)

Linear Programming Approach to Deterministic Infinite Horizon Optimal Control Problems with Discounting. - Vladimir Gaitsgory; Marc Quincampoix (SIAM J. Control. Optim., 2009)

Duality, viability and optimality through linear programming approach to deterministic infinite horizon optimal control problems with discounting. - Vladimir Gaitsgory; Marc Quincampoix (CDC, 2010)

Constraint augmentation in pseudo-singularly perturbed linear programs. - Konstantin Avrachenkov; Regina Sandra Burachik; Jerzy A. Filar; Vladimir Gaitsgory (Math. Program., 2012)

Stabilization with discounted optimal control. - Vladimir Gaitsgory; Lars Grüne; Neil Thatcher (Syst. Control. Lett., 2015)

Linear programming formulation of a discrete time infinite horizon optimal control problem with time discounting criterion. - Vladimir Gaitsgory; Alex Parkinson; Ilya Shvartsman (CDC, 2016)

Singularly perturbed linear programs and Markov decision processes. - Konstantin Avrachenkov; Jerzy A. Filar; Vladimir Gaitsgory; Andrew Stillman (Oper. Res. Lett., 2016)

On Nonzero-Sum Game Considered on Solutions of a Hybrid System with Frequent Random Jumps. - Ilaria Brunetti; Vladimir Gaitsgory; Eitan Altman (Dyn. Games Appl., 2017)

On Numerical Solution of Singularly Perturbed Optimal Control Problems. - Vladimir Gaitsgory; Matthias Gerdts (J. Optim. Theory Appl., 2017)

On Near Optimal Control of Systems with Slow Observables. - Vladimir Gaitsgory; Sergey Rossomakhine (SIAM J. Control. Optim., 2017)

Stabilization of strictly dissipative discrete time systems with discounted optimal control. - Vladimir Gaitsgory; Lars Grüne; Matthias Höger; Christopher M. Kellett; Steven R. Weller (Autom., 2018)

On LP Formulations of Optimal Control Problems with Time Averaging and Time Discounting Criteria in Non-Ergodic Case. - Vivek S. Borkar; Vladimir Gaitsgory; Ilya Shvartsman (CDC, 2019)

Linear Programming Formulation of Long-Run Average Optimal Control Problem. - Vivek S. Borkar; Vladimir Gaitsgory (J. Optim. Theory Appl., 2019)

LP Formulations of Discrete Time Long-Run Average Optimal Control Problems: The NonErgodic Case. - Vivek S. Borkar; Vladimir Gaitsgory; Ilya Shvartsman (SIAM J. Control. Optim., 2019)

LP Based Bounds for Cesàro and Abel Limits of the Optimal Values in Non-ergodic Stochastic Systems. - Konstantin Avrachenkov; Vladimir Gaitsgory; Lucas Gamertsfelder (ECC, 2021)

ERRATUM: LP Formulations of Discrete Time Long-Run Average Optimal Control Problems: The Nonergodic Case. - Vivek S. Borkar; Vladimir Gaitsgory; Ilya Shvartsman (SIAM J. Control. Optim., 2022)

Averaging of a class of singularly perturbed control systems: a non-asymptotic result. - Vladimir Gaitsgory; Ilya Shvartsman (Math. Control. Signals Syst., 2024)