Regional Feedback Stabilization of Distributed Bilinear Systems with Time Delay

Abstract

The current study focuses on the regional stabilization of infinite dimensional bilinear systems with time delays, evolving in a spatial domain Ω. It consists of studying the asymptotic behaviour of such a system in a subregion ω of Ω. Then, we demonstrate regional weak stabilization under weak observability conditions, while regional strong stabilization is achievable under exact observability conditions. Illustrative examples and simulations are included to validate the theoretical results.

Keywords

• infinite dimensional system
• delay bilinear systems
• regional stabilization
• weak and strong observability conditions