DocumentCode
1482919
Title
LFT representations of parametrized polynomial systems
Author
Zerz, Eva
Author_Institution
Dept. of Math., Kaiserslautern Univ., Germany
Volume
46
Issue
3
fYear
1999
fDate
3/1/1999 12:00:00 AM
Firstpage
410
Lastpage
416
Abstract
The paper focuses on general linear constant differential systems in which the coefficients depend polynomially on several parameters. It is shown how the system matrix can be written in terms of a linear fractional transformation (LFT), which is a representation that extracts the parametric uncertainty. The LFT form yields lower bounds for the robust stability radius of the system via μ-analysis tools. The method is applied to the linearized model of a transistor amplifier
Keywords
linear network analysis; polynomial matrices; robust control; transfer functions; μ-analysis tools; LFT representations; coefficients; general linear constant differential systems; linear fractional transformation; linearized model; lower bounds; parametric uncertainty; parametrized polynomial systems; robust stability radius; system matrix; transistor amplifier; Capacitance; Circuits; Frequency domain analysis; Laplace equations; Polynomials; Robust stability; Robustness; Transfer functions; Uncertainty; Vectors;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.751317
Filename
751317
Link To Document