Further results on descriptor time delayed system stability theory in the sense of Lyapunov: Pandolfi based approach

This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex˙(t) = A₀x(t) + A₁x(t - τ). 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 has not yet been reported.