A Simple General Proof of Kharitonov's Generalized Stability Criterion

N. K. Bose, Y. Q. Shi

Research output: Contribution to journalArticlepeer-review

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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.

Original languageEnglish (US)
Pages (from-to)1233-1237
Number of pages5
JournalIEEE Transactions on Circuits and Systems
Volume34
Issue number10
DOIs
StatePublished - Oct 1987

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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