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LP Based Upper and Lower Bounds for Cesàro and Abel Limits of the Optimal Values in Problems of Control of Stochastic Discrete Time Systems

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In this paper, we study asymptotic properties of problems of control of stochastic discrete time systems with time averaging and time discounting optimality criteria, and we establish that the Ces\'aro… Click to show full abstract

In this paper, we study asymptotic properties of problems of control of stochastic discrete time systems with time averaging and time discounting optimality criteria, and we establish that the Ces\'aro and Abel limits of the optimal values in such problems can be evaluated with the help of a certain infinite-dimensional (ID) linear programming (LP) problem and its dual.

Keywords: time; control stochastic; time systems; problems control; stochastic discrete; discrete time

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2022

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