STABILIZATION OF TWO-DIMENSIONAL SINGULAR ROESSER SYSTEMS

Abstract

This paper is concerned with the stabilization problem via state-feedback control for a class of two-dimensional (2-D) singular Roesser systems. Based on a 2-D Lyapunov function scheme, and by utilizing zero-type free matrix equations, sufficient conditions in the form of linear matrix inequalities (LMIs) are first derived to guarantee the admissibility (causality and asymptotic stability) of the closed-loop systems. Then, a stabilizing state-feedback controller (SFC) can be implemented using tractable LMIs conditions.