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arXiv · 1810.10983

Stochastic Control with Stale Information--Part I: Fully Observable Systems

Touraj Soleymani·John S. Baras·Karl H. Johansson
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Abstract

In this study, we adopt age of information as a measure of the staleness of information, and take initial steps towards analyzing the control performance of stochastic systems with stale information. Our goals are to cast light on a fundamental limit on the information staleness that is required for a certain level of the control performance and to specify the corresponding stalest information pattern. In the asymptotic regime, such a limit asserts a critical information staleness that is required for stabilization. We achieve these goals by formulating the problem as a stochastic optimization problem and characterizing the associated optimal solutions. These solutions are in fact a control policy, which specifies the control inputs of the plant, and a queuing policy, which specifies the staleness of information at the controller.

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Touraj Soleymani, John S. Baras, Karl H. Johansson. 2018-10-25. Stochastic Control with Stale Information--Part I: Fully Observable Systems. https://arxiv.org/abs/1810.10983

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