|
|||||
|
|
Strong stabilisation and decay estimate for unbounded bilinear systems |
|
| Authors: | R El Ayadi M Ouzahra A Boutoulout |
| Affiliation: | 1. Faculty of Sciences , TSI Group – AFACS UFR, Moulay Ismail University , Box 11201 Zitoune, Meknès , Morocco rachid_el_ayadi@yahoo.fr;3. Department of Mathematics &4. Informatics , University of Sidi Mohamed Ben Abdellah , P.O. Box 5206, ENS, Fs, Morocco;5. Faculty of Sciences , TSI Group – AFACS UFR, Moulay Ismail University , Box 11201 Zitoune, Meknès , Morocco |
| Abstract: | In this article, we deal with distributed bilinear systems, where the operator of control is supposed to be unbounded in the sense that it is bounded from the state space into some extension. Then we give sufficient conditions for strong stabilisation. Also the rate of convergence of the state is estimated. An illustrating example is given. |
| Keywords: | unbounded bilinear system feedback stabilisation decay estimate |