Minimal factorization of rational matrix functions
M. Rakowsi · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1992
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.>