DocumentCode
1195931
Title
A simple general proof of Kharitonov´s generalized stability criterion
Author
Bose, N.K. ; Shi, Y.Q.
Volume
34
Issue
10
fYear
1987
fDate
10/1/1987 12:00:00 AM
Firstpage
1233
Lastpage
1237
Abstract
In a paper published in 1978 in Russian, Kharitonov proved that the strict Hurwitz property of a set of interval polynomials having complex coefficients may be established from the strict Hurwitz property of eight extreme polynomials. The proof of this significant result is advanced using elementary concepts in circuit theory. The approach not only provides a clear and complete proof of Kharitonov´s generalized stability criterion but also has potentialities for generalization to the bivariate and, subsequently, the multivariate polynomial cases.
Keywords
General circuits and systems theory; Polynomials; Routh stability; Stability; Band pass filters; Circuit stability; Circuit theory; Control system synthesis; Polynomials; Robust control; Shafts; Stability criteria; Vibration control; Writing;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1987.1086055
Filename
1086055
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