Regularization of Underconstrained Interpolants in the Loewner Framework

We present an approach for the regularization of underconstrained interpolants constructed in the Loewner framework for nonlinear descriptor systems. This is accomplished by building a family of systems preserving the property of Loewner equivalence. It is then shown that if the Loewner function is surjective the family contains a subfamily of well-posed interpolants.