This paper gives sufficient conditions for the stability of linear singular continuous delay systems of the  form. These new, delay–independent conditions are derived using approach based on Lyapunov’s direct method. Approach that has been applied is based on crucial idea presented in the paper of Owens, Debeljkovic (1985). Numerical examples have been worked out to show the applicability of the results derived.

Key words: discrete system, descriptive system, linear system, system stability, asymptotic stability, Lyapunov method, Lyapunov stability.