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
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;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325754
