Risk-Sensitive Optimal Control for Markov Decision Processes with Monotone Cost

V. Borkar,Sean P. Meyn

Published 2002 in Mathematics of Operations Research

ABSTRACT

The existence of an optimal feedback law is established for the risk-sensitive optimal control problem with denumerable state space. The main assumptions imposed are irreducibility and anear monotonicity condition on the one-step cost function. A solution can be found constructively using either value iteration or policy iteration under suitable conditions on initial feedback law.

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