Abstract
This paper provides sufficient conditions for both the practical stability and finite time stability of linear singular continuous time delay systems which can be mathematically described as Ex'(t) = A0 x(t) + A1 x(t − τ). When a finite time stability concept is considered, new delay dependent conditions have been derived using the approach based on the Lyapunov-like functions and their properties on the subspace of consistent initial conditions. These functions do not need to have the properties of positivity in the whole state space and negative derivatives along the system trajectories.
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