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math.OC2021
Linear and dynamic programs for risk-sensitive cost minimization
Ari Arapostathis, Vivek S. Borkar
We derive equivalent linear and dynamic programs for infinite horizon risk-sensitive control for minimization of the asymptotic growth rate of the cumulative cost.
math.OC2021
Convex Analytic Method Revisited: Further Optimality Results and Performance of Deterministic Policies in Average Cost Stochastic Control
Ari Arapostathis, Serdar Yüksel
The convex analytic method has proved to be a very versatile method for the study of infinite horizon average cost optimal stochastic control problems. In this paper, we revisit th…