Research Communication | Open Access
Volume 2021 | Communication ID 274
Volume 2021 | Communication ID 274
| Analytical approach for regional observability of a fractional system with Riemann Liouville derivative |
Khalid Zguaid, Fatima-Zahrae El Alaoui, Ali Boutoulout
Received |
Accepted |
Published |
February 01, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: Observability is one of the most essential problems in the domain of control theory, it consists of finding and reconstructing the initial state of a given system. This concept has been widely developed and possesses a huge literature. The goal of this presentation is to find and reconstruct the initial state of a time fractional semilinear system, with Riemann-Liouville fractional derivative, in a desired subregion of the evolution domain, this is what we call regional observability. For that, we use fixed point techniques, semigroup theory and fractional powers of an operator. The ...