Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 38, pp. 1-10.

Title: Feedback stabilization of  parabolic systems with bilinear controls

Author: Mohamed Ouzahra (ENS, Fes, Morocco)

Abstract: 
 In this article, we study infinite-bilinear systems, and consider
 a decomposition of the state space via the spectral properties
 of the systems. Then we apply this approach to strong and
 exponential stabilization problem using quadratic and constrained
 feedbacks. We present also some applications.
 
Submitted January 14, 2011. Published March 07, 2011.
Math Subject Classifications: 93D15, 93D09.
Key Words: Bilinear systems; constrained controls;
           feedback stabilization; robustness.