Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 79
Fractional Derivative Controllability of an Output of a Linear System
Mustapha Benoudi, Rachid Larhrissi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 03, 2022
March 03, 2076
April 15, 2076

Abstract: The aim of this paper is to explore the concept of enlarged controllability in case of where the output function is a Caputo fractional derivative. Moreover, we characterize the minimum energy control which leads a linear parabolic system to a fractional derivative of a final state between two known functions. Two approaches are used to solve this problem. The first is the Lagrangian multiplier method, and the second is based on sub-differential theory. Moreover we give an algorithm for the computation of the optimal control. The obtained results are illustrated throw numerical simulations.