A new approach to the stability of discrete descriptor time delay systems in the sense of non-lyapunov delay independent conditions

This paper gives sufficient conditions for the practical and finite time stability of linear singular continuous time delay systems of the form E x(k +1) = A₀x(k ) + A₁x(k - 1). 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. .