Second-order viability problems for differential inclusions with endpoint constraint and duality

Elimhan N. Mahmudov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The paper deals with the optimal control of second-order viability problems for differential inclusions with endpoint constraint and duality. Based on the concept of infimal convolution and new approach to convex duality functions, we construct dual problems for discrete and differential inclusions and prove the duality results. It seems that the Euler–Lagrange type inclusions are ‘duality relations’ for both primary and dual problems. Finally, some special cases show the applicability of the general approach; duality in the control problem with second-order polyhedral DFIs and endpoint constraints defined by a polyhedral cone is considered.

Original languageEnglish
Pages (from-to)1130-1146
Number of pages17
JournalApplicable Analysis
Volume101
Issue number3
DOIs
Publication statusPublished - 2022

Bibliographical note

Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • 34A60
  • 49M25
  • 49N15
  • 90C46
  • duality
  • endpoint constraint
  • Euler–Lagrange
  • Infimal convolution
  • viability

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