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Cited article:

Linear programming estimates for Cesàro and Abel limits of optimal values in optimal control problems

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Discrete & Continuous Dynamical Systems - B 27 (3) 1591 (2022)
https://doi.org/10.3934/dcdsb.2021102

Reflected dynamics: Viscosity analysis for L∞ cost, relaxation and abstract dynamic programming

Dan Goreac, Hadjer Hechaichi and Oana-Silvia Serea
Journal of Differential Equations 290 78 (2021)
https://doi.org/10.1016/j.jde.2021.04.024

LP Formulations of Discrete Time Long-Run Average Optimal Control Problems: The NonErgodic Case

Vivek S. Borkar, Vladimir Gaitsgory and Ilya Shvartsman
SIAM Journal on Control and Optimization 57 (3) 1783 (2019)
https://doi.org/10.1137/18M1229432

Linear Programming Formulation of Long-Run Average Optimal Control Problem

Vivek S. Borkar and Vladimir Gaitsgory
Journal of Optimization Theory and Applications 181 (1) 101 (2019)
https://doi.org/10.1007/s10957-018-1432-0

Infinite Horizon Stochastic Optimal Control Problems with Running Maximum Cost

Axel Kröner, Athena Picarelli and Hasnaa Zidani
SIAM Journal on Control and Optimization 56 (5) 3296 (2018)
https://doi.org/10.1137/17M115253X

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

Vladimir Gaitsgory, Alex Parkinson and Ilya Shvartsman
Discrete & Continuous Dynamical Systems - B 22 (10) 3821 (2017)
https://doi.org/10.3934/dcdsb.2017192

On Average Control Generating Families for Singularly Perturbed Optimal Control Problems with Long Run Average Optimality Criteria

Vladimir Gaitsgory, Ludmila Manic and Sergey Rossomakhine
Set-Valued and Variational Analysis 23 (1) 87 (2015)
https://doi.org/10.1007/s11228-014-0306-3

Averaging and Linear Programming in Some Singularly Perturbed Problems of Optimal Control

Vladimir Gaitsgory and Sergey Rossomakhine
Applied Mathematics & Optimization 71 (2) 195 (2015)
https://doi.org/10.1007/s00245-014-9257-1

Min–max control problems via occupational measures

Dan Goreac and Oana‐Silvia Serea
Optimal Control Applications and Methods 35 (3) 340 (2014)
https://doi.org/10.1002/oca.2071

Existence of Asymptotic Values for Nonexpansive Stochastic Control Systems

Rainer Buckdahn, Dan Goreac and Marc Quincampoix
Applied Mathematics & Optimization 70 (1) 1 (2014)
https://doi.org/10.1007/s00245-013-9230-4

Discontinuous control problems with state constraints: Linear formulations and dynamic programming principles

Dan Goreac and Carina Ivaşcu
Journal of Mathematical Analysis and Applications 402 (2) 635 (2013)
https://doi.org/10.1016/j.jmaa.2012.12.043