DocumentCode
1215890
Title
Robust stability of quasi-polynomials and the finite inclusions theorem
Author
Mondié, S. ; Santos, J. ; Kharitonov, V.L.
Author_Institution
Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico
Volume
50
Issue
11
fYear
2005
Firstpage
1826
Lastpage
1831
Abstract
A semianalytic tool for the study of the robust stability of quasi-polynomials of retarded type is presented. The approach is based on graphical methods. The finite Nyquist theorem for polynomials is extended to the case of quasi-polynomials with the help of a novel approach. The finite inclusions theorem for quasi-polynomials is derived. It allows to conclude on the stability of polytopic families of quasi-polynomials from a finite number of testing values.
Keywords
Nyquist stability; delay systems; inclusions; polynomials; finite Nyquist theorem; finite inclusion theorems; graphical test; quasi-polynomials; retarded type; robust stability; time delay systems; Differential equations; Functional analysis; Optimal control; Partial differential equations; Polynomials; Riccati equations; Robust stability; Stochastic processes; Testing; Viscosity; Graphical test; quasi-polynomials; robust stability; time-delay systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2005.858649
Filename
1532415
Link To Document