Delay-Dependent Stabilization for Singular Time-Delay Systems

Abstract

Some new results of delay-dependent stabilization for linear singular time-delay systems are presented. And the time delay considered here is assumed to be constant but unknown. By using a new Lyapunov-krasovskii functional which splits the whole delay interval into two subintervals and defines a different energy function on each subinterval, a sufficient delay-dependent condition is obtained for the singular time-delay system to be regular, impulse free and stable.