Abstract
This paper studies the construction of nonlinear interpolants consisting of second-order equations in the Loewner framework. First, conditions are given for which a system of second-order equations interpolates sets of right and left tangential data mappings, which results in second-order tangential generalized controllability and observability mappings allowing for the direct treatment of systems in second-order form. Following this, a family of interpolants with second-order equation structure is given. The results are demonstrated by constructing a reduced order model of a two link robotic manipulator in second-order equation form.
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