Stability of discrete descriptor time delay systems on finite time interval: New delay dependent conditions

Abstract

This paper gives sufficient conditions for the practical and finite time stability of linear singular continuous time delay systems of the form Ex(k+1)=A0x(k)+A1x(k-h). When we consider finite time stability concept, these new, delay independent conditions are derived using approach based on Lyapunov - like functions and their properties on sub-space of consistent initial conditions.