Lyapunov stability theory: a quite new approach - discrete descriptive time delayed system

This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex(k + 1) = A
₀
x(k) + A
₁
x(k - 1). These new, delay-independent sufficient 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