" Wrong" Side Interpolation by Low Degree Positive Real rational Functions Academic Article uri icon

abstract

  • Using polynomial interpolation, along with structural properties of the family of positive real rational functions, we here show that a set of m nodes in the open left half of the complex plane, can always be mapped to anywhere in the complex plane by rational positive real functions whose degree is at most m. Moreover, we introduce an easy-to-find parametrization in $ R^{2m+ 3} $ of a large subset of these interpolating functions. Subjects: Optimization and Control (math. OC) MSC classes: 26C15, 37F10, 46B70, 47N70, 94C05 Cite as: arXiv: 1704.06239 [math. OC](or arXiv: 1704.06239 v1 [math. OC] for this version) Submission history From: Izchak Lewkowicz [view email][v1] Thu, 20 Apr 2017 17: 19: 18 GMT (21kb)

publication date

  • April 20, 2017