Generalized Nevanlinna-Pick interpolation on the boundary. Application to impedance matching

Abstract : In this work we study a generalized Nevanlinna Pick interpolation problem, where transmission zero locations are imposed. Unlike in other variant of this problem considered by T.T. Giorgiou et al. the interpolation points are chosen on the boundary of the analyticity domain: that is, in our framework, on the real axis. This problem is motivated by important questions in electronic and microwave system design, and it relates to the broadband matching theories of Youla and Helton. An existence and uniqueness theorem is proved. The constructive proof is based on continuation techniques.
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Communication dans un congrès
MTNS-21st Symposium on Mathematical Theory of Networks and Systems, Jul 2014, Groninguen, Netherlands. 2014
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Laurent Baratchart, Martine Olivi, Fabien Seyfert. Generalized Nevanlinna-Pick interpolation on the boundary. Application to impedance matching. MTNS-21st Symposium on Mathematical Theory of Networks and Systems, Jul 2014, Groninguen, Netherlands. 2014. 〈hal-00920564〉

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