On recursiveness and related topics in linear systems

A.C. Antoulas · IEEE Transactions on Automatic Control · 1986

A decomposition of matrix formal power series (linear systems) is developed. The interconnections between formal power series, realization (Padé approximation), recursiveness (Berlekamp-Massey algorithm), feedback interconnections, (matrix) linear fractional representations, (matrix) continued fractions and the (matrix) Euclidean algorithm are thereby revealed.

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