Large deviation theory to model systems under an external feedback

Alessio Gagliardi; Alessandro Pecchia; Aldo Di Carlo

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arXiv · 1603.03786

Large deviation theory to model systems under an external feedback

Alessio Gagliardi·Alessandro Pecchia·Aldo Di Carlo

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Abstract

In this paper we address the problem of systems under an external feedback. This is performed using a large deviation approach and rate distortion from information theory. In particular we define a lower boundary for the maximum entropy reduction that can be obtained using a feedback apparatus with a well defined accuracy in terms of measurement of the state of the system. The large deviation approach allows also to define a new set of potentials, including information, which similarly to more conventional thermodynamic potentials can define the state with optimal use of the information given the accuracy of the feedback apparatus.

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Alessio Gagliardi, Alessandro Pecchia, Aldo Di Carlo. 2016-03-10. Large deviation theory to model systems under an external feedback. https://arxiv.org/abs/1603.03786

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