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 language | English |
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Pages (from-to) | 3562-3579 |
Number of pages | 18 |
Journal | Journal of Industrial and Management Optimization |
Volume | 20 |
Issue number | 11 |
DOIs | |
Publication status | Published - 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