Research
Communication | Open Access
Volume 2022 | Communication ID 5986
Volume 2022 | Communication ID 5986
Strong and exponential stabilization for a class of boundary control systems |
Abdellah Lourini, Mohamed El-Azzouzi, Mohamed Laabissi
Received |
Accepted |
Published |
May 09, 15:15 |
July 01, 2022 |
July 15, 2022 |
Abstract: In this work, by an abstract approach and with a generic assumptions, we study the stabilization of the abstract linear boundary control systems. Then we transform their stabilization problem into a stabilization problem of a standard linear system. So we studied the exponential stability of the boundary control system by using the spectral decomposition, also the strong stabilization of a class of Riesz-spectral boundary control problems is discussed. Our approach is based on the feedback theory of standard infinite dimensional linear systems. The effectiveness of the results of this paper ...