Stability Theory in the Sense of Lyapunov — Basic Approach: Discrete Singular Time Delayed System

This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex(k+1) = A_ox(k)+A₁x((k-1). These new, delay-independent conditions are derived using approach based on Lyapunov’s direct method. A numerical example has been working out to show the applicability of results derived. To the best knowledge of the authors, such result have not yet been reported.