Informace o publikaci

Optimal Control of MDPs with Temporal Logic Constraints



Druh Článek ve sborníku
Konference Proceedings of The 52nd IEEE Conference on Decision and Control
Fakulta / Pracoviště MU

Fakulta informatiky

Obor Informatika
Klíčová slova automatic synthesis Markov decision processes LTL
Popis In this paper, we focus on formal synthesis of control policies for finite Markov decision processes with non-negative real-valued costs. We develop an algorithm to automatically generate a policy that guarantees the satisfaction of a correctness specification expressed as a formula of Linear Temporal Logic, while at the same time minimizing the expected average cost between two consecutive satisfactions of a desired property. The existing solutions to this problem are sub-optimal. By leveraging ideas from automata-based model checking and game theory, we provide an optimal solution. We demonstrate the approach on an illustrative example.
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