DocumentCode
2110819
Title
On structured tangential Nevanlinna-Pick
Author
Bercovici, Hari ; Cockburn, Juan C. ; Foias, Ciprian ; Tannenbaum, Allen
Author_Institution
Dept. of Math., Indiana Univ., Bloomington, IN, USA
fYear
1993
fDate
15-17 Dec 1993
Firstpage
3020
Abstract
This paper is a continuation of the work of Bercovici-Foias-Tannenbaum (1989, 1990) on interpolation problems where the interpolating functions are bounded not in norm but in spectral radius or structured singular values. These problems arise naturally in the robust control of systems with structured uncertainty. Here we extend our structured matrix Nevanlinna-Pick interpolation theory to the (one-sided) tangential case. With these results, we have laid the groundwork for a rigorous analytic procedure for μ-synthesis
Keywords
interpolation; matrix algebra; stability; μ-synthesis; bounded interpolating functions; rigorous analytic procedure; spectral radius; structured matrix Nevanlinna-Pick interpolation theory; structured singular values; structured tangential Nevanlinna-Pick theory; structured uncertainty; Hilbert space; Interpolation; Mathematics; National electric code; Robust control; Sufficient conditions; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location
San Antonio, TX
Print_ISBN
0-7803-1298-8
Type
conf
DOI
10.1109/CDC.1993.325754
Filename
325754
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