Abstract

Descriptor representations are considered that are given by ( E, A, B, C, D) with D = 0. Minimality under external equivalence is characterized in terms of the matrices E, A, B and C. Also, transformations are given by which minimal ( E, A, B, C) representations are related under external equivalence. The transformations turn out to be more simple than in the “ D ≠ 0” case. Algorithms for rewriting an ( E, A, B, C, D) representation in ( E, A, B, C) form are also given. Finally, a realization procedure is presented for obtaining a minimal ( E, A, B, C) representation for a system that is given in polynomial matrix fractional form.

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