Research Communication | Open Access
Volume 2021 | Communication ID 163
Volume 2021 | Communication ID 163
| Regional gradient controllability of semi-linear systems |
Ahad Khalid Naji Alshammari, Sid Ahmed Beinane, Maawiya Ould Sidi
Received |
Accepted |
Published |
January 30, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: The purpose of this paper is to explore the concept of regional gradient-controllability for semi linear parabolic distributed systems. We give a definition and delineate somme properties of this concept, and we show that under some hypothesis, that the approximate regional controllability for the associated linear system holds, we find a control which steers the system to a desired gradient of state in a subregion of the system domain. We present two approaches where the first combines the HUM method and the fixed point techniques, and the second is based on the techniques of ...