Research Communication | Open Access
Volume 2021 | Communication ID 121
Volume 2021 | Communication ID 121
| Flux Control Problem for a Class of Bilinear Distributed Systems |
Badriah Shuwaysh Alanazi, Maawiya Ould Sidi, Sid Ahmed Beinane
Received |
Accepted |
Published |
January 28, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: The quadratic cost used by Lenhart [1] allows to minimize a spatiotemporal speed and to control a contaminant modeled by a one-dimensional bilinear equation. Joshi [2] studies the same problem using more regular optimal control. Zerrik and Ould Sidi [3-4], Zine and Ould Sidi [5-6] extend these problems to the regional cases, obtaining very important results and applications. In this communication, we treat the flux problem governed by distributed bilinear systems. We use regular optimal control to steer a flux state to a desired flux target. We prove the existence of a solution to our ...