Singular Time Delayed System Stability Theory in the sense of Lyapunov: A Quite New Approach

This paper gives sufficient conditions for the stability of linear singular continuous delay systems of the form
E
⨰
(t)=
A
_o
x
(t)
A
₁
x
(
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.