OPTIMAL CONTROL OF SECOND ORDER HEREDITARY FUNCTIONAL-DIFFERENTIAL INCLUSIONS WITH STATE CONSTRAINTS
Journal of Industrial and Management Optimization, vol.20, no.11, pp.3562-3579, 2024 (SCI-Expanded, Scopus)
- 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.