Title :
A simple general proof of Kharitonov´s generalized stability criterion
Author :
Bose, N.K. ; Shi, Y.Q.
fDate :
10/1/1987 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1987.1086055