Further results on stability of singular time delay systems in the sense of non-Lyapunov: A new delay dependent conditions

In this paper, we consider the problem of finite-time stability for a class of linear singular time-delay systems. New delay dependent stability conditions have been derived using the approach based on the Lyapunov-like functions and their properties on the subspace of consistent initial conditions. The stability conditions are presented in the form of linear matrix inequalities. A numerical example has been provided to show the advantage of derived results.