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Bayesian adaptive control of discrete-time Markov processes with long-run average cost

✍ Scribed by G.B.Di Masi; Ł. Stettner


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
100 KB
Volume
34
Category
Article
ISSN
0167-6911

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✦ Synopsis


A simple adaptive control strategy for discrete-time Markov processes with compact state, action and parameter spaces that guarantees near self-optimality is proposed. The approach used is based on randomization and the study of invariant measure of the joint state and Bayesian parameter estimator process.


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✍ G.B.Di Masi; Ł. Stettner 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 96 KB

A control problem with risk sensitive ergodic performance criterion is considered for a discrete time Feller process. Using assumptions of uniform ergodicity and small risk factor, the existence and uniqueness of the solution to the Bellman equation is proved. Uniform approximations to such solution