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

Mahmudov E., MASTALIYEVA D.

Journal of Industrial and Management Optimization, vol.20, no.11, pp.3562-3579, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 11
  • Publication Date: 2024
  • Doi Number: 10.3934/jimo.2024065
  • Journal Name: Journal of Industrial and Management Optimization
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
  • Page Numbers: pp.3562-3579
  • Keywords: Hale form, Hamiltonian, Locally adjoint mapping, Neutral functional-differential, Second order differential inclusion, transversality
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

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.