OPTIMAL CONTROL OF SECOND ORDER HEREDITARY FUNCTIONAL-DIFFERENTIAL INCLUSIONS WITH STATE CONSTRAINTS

ELIMHAN N. MAHMUDOV*, DILARA MASTALIYEVA

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with optimal control problems governed by constrained hereditary second-order differential inclusions (DFIs). We also focus on delay-neutral and assigned Hale type DFIs, which arise in many fields of applied science and play a vital role in the mathematical modeling of real-life phenomena. To the best of our knowledge, such problems for second-order hereditary DFIs have not been considered in the literature from the viewpoint of optimality conditions. In this way we formulate sufficient conditions of optimality for second-order convex and nonconvex neutral functional-DFIs in Euler-Lagrange and Hamiltonian forms and transversality conditions. The results obtained are applied to some linear problems.

Original languageEnglish
Pages (from-to)3562-3579
Number of pages18
JournalJournal of Industrial and Management Optimization
Volume20
Issue number11
DOIs
Publication statusPublished - Nov 2024

Bibliographical note

Publisher Copyright:
© (2024) American Institute of Mathematical Sciences. All rights reserved.

Keywords

  • Hale form
  • Hamiltonian
  • Locally adjoint mapping
  • Neutral functional-differential
  • Second order differential inclusion
  • transversality

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