Abstract
The theorem on minimal factorization of rational matrix functions without a pole or zero at infinity is extended to arbitrary rational matrix functions. To obtain this generalization, the concept of a centered realization for possibly nonproper rational matrix function is developed. A centered realization involves a single state-space operator and has most properties of a usual state-space realization.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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