We study the state space realization of a tensor product of a pair of rational functions. At the expense of “inflating” the dimensions, we recover the classical expressions for realization of a regular product of rational functions. Under an additional assumption that the limit at infinity of a given rational function exists and is equal to identity, we introduce an explicit formula for a tensor factorization of this function.
Alpay, D. & Lewkowicz, I. Quantum Stud.: Math. Found. (2019). https://doi.org/10.1007/s40509-019-00190-w
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