DocumentCode
1239946
Title
Comments on "On the robust Popov criterion for interval Lur"e systems
Author
Mori, T. ; Nishimura, T. ; Kuroe, Y. ; Kokame, H.
Author_Institution
Dept. of Electron. & Inf. Sci., Kyoto Inst. of Technol., Japan
Volume
40
Issue
1
fYear
1995
Firstpage
136
Lastpage
137
Abstract
This paper supplements the remarks made in a paper by Dahleh et al. (IEEE Trans. Automat. Contr. vol.38, p.1400-5 (1993)) regarding the Popov sector of Lur\´e systems with interval plants. A numerical example is provided to show that strict inequalities hold among three sectors: those obtained by the theorem of the paper, by applying Popov theorem to each member system, and by applying that to each of the systems with Kharitonov plants. This counterexample negates a tempting conjecture on "strong" robust Popov criterion.<>
Keywords
Popov criterion; absolute stability; robust control; stability criteria; Kharitonov plants; Lur´e systems; inequality; interval plants; robust Popov criterion; Automatic control; Computer applications; Control systems; Linear systems; Matrix decomposition; Observability; Robustness; Singular value decomposition; State-space methods; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.362884
Filename
362884
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