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
Link To Document :
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