Yet again on iteration improvement for averaged expected cost control for 1D ergodic diffusions
Abstract
The paper is a full version of the short presentation in amv17. Ergodic control for one-dimensional controlled diffusion is tackled; both drift and diffusion coefficients may depend on a strategy which is assumed markovian. Ergodic HJB equation is established and existence and uniqueness of its solution is proved, as well as the convergence of the reward improvement algorithm.
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