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math.OC2019
Quantitatively Hyper-Positive Real Functions
Daniel Alpay, Izchak Lewkowicz
Hyper-Positive real, matrix-valued, rational functions are associated with absolute stability (the Lurie problem). Here, quantitative subsets of Hyper-positive functions, related t…
math.OC2018
Realization of tensor-product and of tensor-Factorization of rational functions
Daniel Alpay, Izchak Lewkowicz
We here first 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 expressi…