Title :
LFT representations of parametrized polynomial systems
Author_Institution :
Dept. of Math., Kaiserslautern Univ., Germany
fDate :
3/1/1999 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
