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

^*Corresponding author for this work

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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.

Original language	English
Journal	IEEE Control Systems Letters
Volume	7
Pages (from-to)	2797-2802
Number of pages	6
ISSN	2475-1456
DOIs	https://doi.org/10.1109/LCSYS.2023.3288091
Publication status	Published - 2023

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© 2017 IEEE.

Keywords

Emerging control applications
Optimal Control
Behavioral nudging

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10.1109/LCSYS.2023.3288091

L-CSS_2023_FSSubmitted manuscript, 557 KBLicence: CC BY 4.0

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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.",

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AU - Leth, John-Josef

PY - 2023

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N2 - 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.

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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DO - 10.1109/LCSYS.2023.3288091

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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

Abstract

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Keywords

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