Science and Education Publishing Automatic Control and Information Sciences 2 1 2014 02 21 Further Results on Stability of Singular Time Delay Systems in the Sense of Non-Lyapunov: A New Delay Dependent Conditions 13 19 EN Dragutin Lj. Debeljkovic Department of Control Eng., University of Belgrade, School of Mechanical Engineering, Belgrade, Serbia Sreten B. Stojanovic Goran V. Simeunovic Nebojsa J. Dimitrijevic ACIS2014213 10.12691/acis-2-1-3 2014 01 08 2014 02 17 2014 02 21 In this paper, we consider the problem of finite-time stability of a class of linear singular continuous time delay systems. By using Lyapunov-like functional with time-delay, new delay-dependent stability condition has been derived in terms of matrix inequality such that the system under consideration is regular, impulse free and finite time stable. In the proposed stability criterion, Drazin inverse of a singular matrix is used.