Relations Between Real and Complex Polynomials for Stability and Aperiodicity Conditions

B. D.O. Anderson; E. I. Jury; F. L.C. Chaparro

doi:10.1109/TAC.1975.1100913

Relations Between Real and Complex Polynomials for Stability and Aperiodicity Conditions

B. D.O. Anderson, E. I. Jury, F. L.C. Chaparro

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Results are obtained connecting the zero distribution of a real polynomial and a complex polynomial of approximately half the degree of the real polynomial. The results are applied to the relating of real aperiodic polynomials with real and complex Hurwitz polynomials. “Unit circle” results are also outlined.

Original language	English
Pages (from-to)	244-246
Number of pages	3
Journal	IEEE Transactions on Automatic Control
Volume	20
Issue number	2
DOIs	https://doi.org/10.1109/TAC.1975.1100913
Publication status	Published - Apr 1975
Externally published	Yes

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title = "Relations Between Real and Complex Polynomials for Stability and Aperiodicity Conditions",

abstract = "Results are obtained connecting the zero distribution of a real polynomial and a complex polynomial of approximately half the degree of the real polynomial. The results are applied to the relating of real aperiodic polynomials with real and complex Hurwitz polynomials. “Unit circle” results are also outlined.",

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AU - Chaparro, F. L.C.

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N2 - Results are obtained connecting the zero distribution of a real polynomial and a complex polynomial of approximately half the degree of the real polynomial. The results are applied to the relating of real aperiodic polynomials with real and complex Hurwitz polynomials. “Unit circle” results are also outlined.

AB - Results are obtained connecting the zero distribution of a real polynomial and a complex polynomial of approximately half the degree of the real polynomial. The results are applied to the relating of real aperiodic polynomials with real and complex Hurwitz polynomials. “Unit circle” results are also outlined.

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Relations Between Real and Complex Polynomials for Stability and Aperiodicity Conditions

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