A simple general proof of Kharitonov's generalized stability criterion

1 October 1987

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems

Vol. 34 (10) , 1233-1237
https://doi.org/10.1109/tcs.1987.1086055

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

This publication has 3 references indexed in Scilit:

Network realizability theory approach to stability of complex polynomials
IEEE Transactions on Circuits and Systems, 1987
On the splitting of a complex-coefficient polynomial
IEE Proceedings G (Electronic Circuits and Systems), 1986
Multidimensional Systems Theory
Published by Springer Nature ,1985