Abstract
We consider the problem of assigning a particular structure to interpolants constructed in the Loewner framework. Specifically, a dynamically extended family of interpolants matching sets of right and left tangential data is used to parameterize a family of systems matching the tangential data while also possessing a specific second-order structure. At the cost of adding states to the interpolant, the approach does not require the addition of any strict conditions on the structure of the tangential data. Conditions are stated under which, if satisfied, the interpolant corresponds to a system with physical meaning, and an illustrative example is provided.
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