Title :
A necessary and sufficient condition for the solvability of perturbed Nevanlinna-Pick interpolation problems
Author :
Yung, Chee Fai ; Yeh, Fang BO ; Lin, Jyun Tswun ; Chen, Kuan Lung
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Ocean Univ., Keelung, Taiwan
Abstract :
This paper gives a necessary and sufficient condition for the solvability of a family of Nevanlinna-Pick interpolation problems with polytopes of uncertain functional values. Similar to Kharitonov´s extreme point test, the condition given requires all vertex Pick matrices to be positive definite
Keywords :
computability; computational complexity; interpolation; matrix algebra; robust control; Kharitonov theorem; convex hull; extreme point test; necessary condition; parametric uncertainty; perturbed Nevanlinna-Pick interpolation; polytopes; robust control; solvability; sufficient condition; uncertain functional values; vertex Pick matrices; Councils; Image analysis; Interpolation; Oceans; Polynomials; Robust control; Robust stability; Sufficient conditions; Testing; Uncertainty;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478924