Optimal feedback stabilization of fractional output in semilinear distributed systems

Autor: Marouane Karim, Issam Khaloufi, Imane Dehaj, Rachik Mostafa
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100911- (2024)
Druh dokumentu: article
ISSN: 2666-8181
DOI: 10.1016/j.padiff.2024.100911
Popis: This study explores the stabilization of state–space fractional derivatives in semilinear distributed systems, using the Riemann–Liouville derivative of order α, where α lies within the interval 0,1. The main objective is to develop effective feedback control strategies that ensure both strong and weak stabilization of fractional outputs. Additionally, we tackle a fractional minimization problem to enhance the system’s performance. A numerical simulation example is provided to demonstrate the practical significance of the proposed stabilization theorems.
Databáze: Directory of Open Access Journals