Application of Hat function for delay fractional optimal control problems

Amir Ahmad Khajehnasiri, Reza Ezzati, Mostafa Safavi and A. Jafari

International Journal of Operational Research, 2023, vol. 48, issue 4, 494-508

Abstract: In this paper, we present a special class of fractional operational matrices to find the solution of the delay optimal control problems of fractional order. The solution is based on the Hat functions. Despite the complexity of the solution for delay systems, the most advantages of using Hat functions are the efficiency, reliability, and simplicity. To illustrate the proposed method, some numerical examples have been presented. Comparison with other methods and the numerical results show that the given numerical method is so accurate and effective to find the approximate solution of fractional delay systems as well as the delay fractional optimal control problems.

Keywords: delay; Hat functions; operational matrix; optimal control problems; block pulse function; BPF. (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=135504 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:48:y:2023:i:4:p:494-508

Access Statistics for this article

More articles in International Journal of Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().