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In this paper we give a theoretical and a computational solution to the most general inner-outer factorization problem formulated for a discrete-time system G. Our method is based on descriptor state-space computations and relies on an efficient dislocation of the minimal indices and of the “unstable” zeros of G by left multiplication with all-pass factors. The minimal indices are dislocated by solving...
Given an arbitrary rational matrix G, we are interested to construct the class of coprime factorizations of G with J-all pass denominators of McMillan degree as small as possible. Recently, we have given necessary and sufficient solvability conditions and a construction of the class of solutions in the canonical case in which the denominator has McMillan degree equal to the number of unstable poles...
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