Small noise perturbations of stochastic ergodic control problems

Fuente: arXiv
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Auteurs principaux: Kumar, K. Suresh, Desai, Vikrant
Format: Preprint
Publié: 2024
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author Kumar, K. Suresh
Desai, Vikrant
author_facet Kumar, K. Suresh
Desai, Vikrant
contents Using small noise limit approach, we study degenerate stochastic ergodic control problems and as a byproduct obtain error bounds for the $\varepsilon$-optimal controls. We also establish tunneling for a special ergodic control problem and give a representation of the ergodic value using the tunneled Markov chain.
format Preprint
id arxiv_https___arxiv_org_abs_2405_00067
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Small noise perturbations of stochastic ergodic control problems
Kumar, K. Suresh
Desai, Vikrant
Optimization and Control
Probability
Using small noise limit approach, we study degenerate stochastic ergodic control problems and as a byproduct obtain error bounds for the $\varepsilon$-optimal controls. We also establish tunneling for a special ergodic control problem and give a representation of the ergodic value using the tunneled Markov chain.
title Small noise perturbations of stochastic ergodic control problems
topic Optimization and Control
Probability
url https://arxiv.org/abs/2405.00067