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

Research output: Contribution to journalJournal articleResearchpeer-review

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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 languageEnglish
JournalIEEE Control Systems Letters
Volume7
Pages (from-to)2797-2802
Number of pages6
ISSN2475-1456
DOIs
Publication statusPublished - 2023

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Keywords

  • Emerging control applications
  • Optimal Control
  • Behavioral nudging

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