Title :
A topological view of the Nevanlinna-Pick problem: Solutions of dimension n
Author_Institution :
Florida Atlantic University, Boca Raton, Florida
Abstract :
Based on a topological property of a certain map we establish that when the (n+1)-point Nevanlinna-Pick problem is solvable, then for any dissipation polynomial of degree n or less, there corresponds an interpolating function with dimension at most n. Our results provide a topological proof for the sufficiency of Pick´s criterion for the solvability of the Nevanlinna-Pick problem.
Keywords :
Approximation methods; Filtering theory; Filters; Interpolation; Polynomials; Robustness; Stochastic processes; Testing; Uncertain systems;
Conference_Titel :
Decision and Control, 1984. The 23rd IEEE Conference on
Conference_Location :
Las Vegas, Nevada, USA
DOI :
10.1109/CDC.1984.272365
