Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching | Zendy

Laurent Baratchart | Zendy; Martine Olivi | Zendy; Fabien Seyfert | Zendy

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Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching

Author(s) -

Laurent Baratchart,

Martine Olivi,

Fabien Seyfert

Publication year - 2017

Publication title -

siam journal on mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.882

H-Index - 92

eISSN - 1095-7154

pISSN - 0036-1410

DOI - 10.1137/16m1085577

Subject(s) - mathematics , interpolation (computer graphics) , uniqueness , polynomial interpolation , matching (statistics) , boundary (topology) , work (physics) , mathematical analysis , linear interpolation , polynomial , computer science , telecommunications , mechanical engineering , statistics , frame (networking) , engineering

International audienceWe study a generalized Nevanlinna Pick interpolation problem on the half-plane for rational functions of prescribed degree, where peak points are imposed and interpolation conditions may lie on the real axis. This generalizes previous work by T. Giorgiou, C. Byrnes, A Lindquist and A. Megretski. The problem is motivated by the issue of broadband matching in electronics and microwave system design. We prove existence and uniqueness of a solution by differential-topological techniques. The approach is put to work numerically on a real example, using a continuation method

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