Abstract
The paper is devoted to optimal control of the second-order Nicoletti boundary value problem (BVP) with differential inclusions (DFIs) and duality. First, we formulate the optimality conditions for the problem posed, and then, based on the concept of infimal convolution, the dual problems. It turns out that the Euler-Lagrange type inclusions are ”duality relations” for both primal and dual problems, which means that a pair consisting of solutions to the primal and dual problems sat-isfies this extremal relation, and vice versa. Finally, as an application of the results obtained, we consider the second-order Nicoletti BVP with polyhedral DFIs.
| Original language | English |
|---|---|
| Pages (from-to) | 3-15 |
| Number of pages | 13 |
| Journal | Proceedings of the Institute of Mathematics and Mechanics |
| Volume | 49 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2023 |
Bibliographical note
Publisher Copyright:© 2023, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
Keywords
- Duality
- Euler-Lagrange
- Nicoletti boundary-value problem
- Polyhedral
- Second-order
Fingerprint
Dive into the research topics of 'OPTIMIZATION OF THE NICOLETTI BOUNDARY VALUE PROBLEM FOR SECOND-ORDER DIFFERENTIAL INCLUSIONS'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver