A general existence theorem for a multi-valued control problem

Behrouz Emamizadeh, Yichen Liu*, Mohsen Zivari-Rezapour

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we propose a general existence theorem for a multi-valued control problem. The proof of the theorem is based on a decomposition result of the weak* closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition for the optimal control.

Original languageEnglish
Pages (from-to)195-202
Number of pages8
JournalComptes Rendus Mathematique
Volume362
DOIs
Publication statusPublished - 2024

Keywords

  • decomposition
  • existence
  • multi-valued control
  • optimality condition
  • uniqueness

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