Entropy for Optimal Control on a Simplex With an Application to Behavioral Nudging

Mohamad Al Ahdab; Torben Knudsen; Jakob Stoustrup; John-Josef Leth

doi:10.1109/LCSYS.2023.3288091

Entropy for Optimal Control on a Simplex With an Application to Behavioral Nudging

Mohamad Al Ahdab^*, Torben Knudsen, Jakob Stoustrup, John-Josef Leth

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Abstract

We study the utilization of the entropy function of inputs in solving an Optimal Control Problem (OCP) with linear dynamics and inputs constrained to a variable-sized simplex in which the size is also an input. By using the entropy function as part of the objective functional in the OCP, we are able to derive a closed-form solution. Additionally, we present an example of how the studied OCP can be applied to choose between nudging techniques to discourage a specific behavior, such as non-adherence to medication, through the lens of behavioral momentum theory.

Originalsprog	Engelsk
Tidsskrift	IEEE Control Systems Letters
Vol/bind	7
Sider (fra-til)	2797-2802
Antal sider	6
ISSN	2475-1456
DOI	https://doi.org/10.1109/LCSYS.2023.3288091
Status	Udgivet - 2023

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© 2017 IEEE.

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10.1109/LCSYS.2023.3288091

L-CSS_2023_FSIndsendt manuskript, 557 KBLicens: CC BY 4.0

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AU - Knudsen, Torben

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AU - Leth, John-Josef

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AB - We study the utilization of the entropy function of inputs in solving an Optimal Control Problem (OCP) with linear dynamics and inputs constrained to a variable-sized simplex in which the size is also an input. By using the entropy function as part of the objective functional in the OCP, we are able to derive a closed-form solution. Additionally, we present an example of how the studied OCP can be applied to choose between nudging techniques to discourage a specific behavior, such as non-adherence to medication, through the lens of behavioral momentum theory.

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KW - Optimal Control

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EP - 2802

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

ER -

Entropy for Optimal Control on a Simplex With an Application to Behavioral Nudging

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