Robust Stability and Stabilization of Singular 2D Continuous Systems with Delays

Abstract

This paper deals with the problems of robust stability and stabilization of 2D singular continuous systems with delays and parameter uncertainties. The aim of the robust stability problem is to give conditions such that the delayed 2D singular uncertain system is regular, impulse free, and stable, while the purpose of the robust stabilization is to design a state-feedback control law such that the closed-loop system is robustly stable. Sufficient conditions are given under strict linear matrix inequality (LMI) conditions. Finally, a numerical example is used in order to show the applicability of the presented results.