Title :
Analytic interpolation with degree constraints: the multivariable case
Author :
Takyar, Mir Shahrouz ; Georgiou, Tryphon T.
Author_Institution :
Univ. of Minnesota, Minneapolis
Abstract :
We study (generic) minimal degree solutions of certain analytic interpolation for matrix-valued functions. More specifically, we consider a positive-real variant of the multivariable Nehari problem. Using recent results on the multivariable moment problem, we identify a natural family of "generically minimal" McMillan degree solutions.
Keywords :
interpolation; matrix algebra; multivariable control systems; analytic interpolation; generically minimal McMillan degree solution; matrix-valued functions; multivariable Nehari problem; multivariable moment problem; positive-real variant; Circuit theory; Cities and towns; Equations; Interpolation; Robust control;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4283122
