DocumentCode
1089897
Title
Guaranteed characterization of stability domains via set inversion
Author
Walter, Eric ; Jaulin, Luc
Author_Institution
Lab. des Signaux et Syst., Ecole Superieure d´´Electr., Gif-sur-Yvette, France
Volume
39
Issue
4
fYear
1994
fDate
4/1/1994 12:00:00 AM
Firstpage
886
Lastpage
889
Abstract
A new method is presented for characterizing the set of all values of the parameters of a linear time-invariant model that are associated with a stable behavior. A formal Routh table is used to formulate the problem as one of set inversion, which is solved approximately but globally with tools borrowed from interval analysis. The method readily extends to the design of controllers stabilizing all models in a given class
Keywords
linear systems; polynomials; set theory; formal Routh table; guaranteed characterization; interval analysis; linear time-invariant model; set inversion; stability domains; Asymptotic stability; Negative feedback; Open loop systems; Polynomials; Stability analysis; Stability criteria; Sufficient conditions; Three-term control; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.286277
Filename
286277
Link To Document