Optimal feedback control stabilisation for fractional output in time-delayed distributed semilinear systems

Marouane Karim, Issam Khaloufi, Mohammed Azoua and Mostafa Rachik

International Journal of Systems Science, 2024, vol. 55, issue 16, 3571-3583

Abstract: This work focuses on the problem of stabilising the spatial fractional Riemann-Liouville output of order $ \alpha \in [0, 1] $ α∈[0,1], for a class of distributed semi-linear systems with time delay evolving over the domain Ω. The main objective is to identify efficient feedback control strategies to achieve strong, weak and exponential stabilisdation of the fractional output. Then, we solve a minimisation fractional problem. To illustrate the practical implications of the stabilisation theorems presented, two examples of numerical simulations are provided.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2024.2377366 (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:taf:tsysxx:v:55:y:2024:i:16:p:3571-3583

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2024.2377366

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().