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Gordienko, E.I., Lemus-Rodriguez, E. and Montes-de-Oca, R. (2008) Discounted Cost Optimality Problem: Stability with Respect to Weak Metrics. Mathematical Methods of Operations Research, 68, 77-96.
https://doi.org/10.1007/s00186-007-0171-z

has been cited by the following article:

• TITLE: Stability Estimation for Markov Control Processes with Discounted Cost

  AUTHORS: Jaime Eduardo Martínez-Sánchez

  KEYWORDS: Discrete-Time Markov Control Process, Expected Total Discounted Cost, Stability Index, Probabilistic Metric, Lévy-Prokhorov Metric

  JOURNAL NAME: Applied Mathematics, Vol.11 No.6, June 22, 2020

  ABSTRACT: This article explores controllable Borel spaces, stationary, homogeneous Markov processes, discrete time with infinite horizon, with bounded cost functions and using the expected total discounted cost criterion. The problem of the estimation of stability for this type of process is set. The central objective is to obtain a bounded stability index expressed in terms of the Lévy-Prokhorov metric; likewise, sufficient conditions are provided for the existence of such inequalities.