Feedback stabilization of parabolic systems with bilinear controls

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.

Keywords

• Bilinear systems
• constrained controls
• feedback stabilization
• robustness