This paper gives sufficient conditions for the attractive practical and finite time stability of linear continuous time delay systems of the form x(t) = A0x(t) + A1x(t-τ). When we consider finite time stability, these new, delay dependent conditions are derived using the approach based on Lyapunov-Krassovski functional. In this case the functional need not to have: a) properties of positivity in whole state space and b) negative derivatives along system trajectories.
