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The Kumar-Becker-Lin scheme revisited
Authors:V S Borkar
Institution:(1) Tata Institute of Fundamental Research, Bangalore, India;(2) Present address: Department of Electrical Engineering, Indian Institute of Science, Bangalore, India
Abstract:The Kumar-Becker-Lin scheme introduces a slowly vanishing cost bias in the parameter estimation part of self-tuning control in order to improve its performance. This paper establishes the a.s. optimality of a variant of this scheme for Markov chains on a countable state space when the action space is compact metric and the parameter space is a compact subset ofR m .
Keywords:Optimal stochastic control  adaptive control  ergodic control  Kumar-Becker-Lin scheme  self-tuning control
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