Abstract
For linear singular time-delay systems, the most existing results focus on the simple case, i.e. Ex(t) = A 0 x(t) + A 1 x(t — τ). Few results have been stated for the general linear singular time-delay systems of the form Σl i=0 = 0 E i x(t — iτ) = Σk i=0 = 0A i x(t — iτ), which covers also neutral delay systems. For such a general case, this paper deduced sufficient conditions, with which a simple Luenberger-like observer can be designed in order to exponentially estimate the states.
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