Stability estimation of some Markov controlled processes

Author:

Gordienko Evgueni1,Chavez Juan Ruiz de1

Affiliation:

1. Departamento de Matemáticas, Universidad Autónoma Metropolitana-Iztapalapa. San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, 09340 , Mexico City , Mexico

Abstract

Abstract We consider a discrete-time Markov controlled process endowed with the expected total discounted reward. We assume that the distribution of the underlying random vectors is unknown and that it is approximated by an appropriate known distribution. We found upper bounds of a decrease in reward when the policy, optimal for the approximating process, is applied to control the original process.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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