DocumentCode
862237
Title
Preservation of stability in multidimensional systems using SPR0 functions
Author
Fernández-Anaya, G. ; Torres-Muñoz, J.A.
Author_Institution
Departamento de Ciencias, Univ. Iberoamericana, Lomas De Santa Fe, Mexico
Volume
49
Issue
11
fYear
2002
fDate
11/1/2002 12:00:00 AM
Firstpage
1654
Lastpage
1658
Abstract
This brief deals with substitutions on m-variate rational proper functions. It is shown that the stability property of an m-variate proper rational function is preserved when one or several of its variables are substituted by positive real functions. As a consequence, we give results on robust and simultaneous stabilization of m-dimensional systems using stable constant controllers.
Keywords
multidimensional systems; robust control; stability; SPR0 functions; m-dimensional systems; multidimensional systems; positive real functions; stability; stabilization; stable constant controllers; Control systems; Digital filters; Linear systems; Multidimensional systems; Polynomials; Robust control; Robust stability; Scattering; Transfer functions; Veins;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/TCSI.2002.804535
Filename
1046836
Link To Document