On LP Formulations of Optimal Control Problems with Time Averaging and Time Discounting Criteria in Non-Ergodic Case

Borkar, Vivek ; Gaitsgory, Vladimir ; Shvartsman, Ilya (2019) On LP Formulations of Optimal Control Problems with Time Averaging and Time Discounting Criteria in Non-Ergodic Case In: 2019 IEEE 58th Conference on Decision and Control (CDC), 11-13 December 2019, Nice, France.

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Official URL: http://doi.org/10.1109/CDC40024.2019.9030021

Related URL: http://dx.doi.org/10.1109/CDC40024.2019.9030021

Abstract

This paper is devoted to the study of infinite horizon optimal control problems with time discounting and time averaging criteria. These problems are related to certain infinite-dimensional linear programming (IDLP) problems, and this relation is used to obtain properties of the optimal value functions. We focus on the general non-ergodic case, where the optimal value functions may depend on the initial condition of the system. We also obtain IDLP-based sufficient and necessary optimality conditions for optimal control problems.

Item Type:Conference or Workshop Item (Other)
Source:Copyright of this article belongs to IEEE.
ID Code:135148
Deposited On:19 Jan 2023 09:37
Last Modified:19 Jan 2023 09:37

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