SIMPLE GENERAL PROOF OF KHARITONOV'S GENERALIZED STABILITY CRITERION.

N. K. Bose, Yun-Qing Shi

Research output: Contribution to journalArticlepeer-review

Abstract

In a paper published in 1978 in Russian, V. L. 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 circuit-theory-based approach enables the authors to advance a clear and complete proof of Kharitonov's generalized stability criterion. 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)791-794
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
StatePublished - Jan 1 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

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