Nonregular 2D descriptor delay systems

Abstract
This paper examines descriptor systems with delays which are in the form Bx′(t) + Dx(t) + Cx(t − α) = Eu(t) . Previous paper have examined the case when λB + D is a regular pencil. In this paper we examine the case when λ B + D is a singular pencil but det(λ B + D + ω C )≢0. Behaviour not previously reported for descriptor systems is observed. Several basic issues are discussed.

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