Title :
Recent results on the robust stability of multivariate polynomials
Author :
Kharitonov, V.L. ; Muñoz, J. A Torres
Author_Institution :
Autom. Control Dept., CINVESTAV-IPN, Mexico City, Mexico
fDate :
6/1/2002 12:00:00 AM
Abstract :
This paper presents a detailed account of recent results on stability and robust stability of multivariate polynomials, First, a new stability concept is introduced. Then, it is shown that polynomials stable in this new sense have many properties that are known to hold for Hurwitz stable univariate polynomials. Finally, basic robust stability results for such polynomials are presented
Keywords :
numerical stability; polynomials; Hurwitz stable univariate polynomial; multivariate polynomial; robust stability; stability; Automatic control; Feedback; Filtering theory; Helium; Image analysis; Polynomials; Robust stability; Robustness; Scattering; Stability analysis;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.1010027
