A Geometric Root Distribution Criterion

M. N. Prakash; A. T. Fam

doi:10.1109/TAC.1982.1102939

A Geometric Root Distribution Criterion

M. N. Prakash
, A. T. Fam

Department of Electrical Engineering

Nokia

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

4 Scopus citations

Abstract

A new criterion for stability of monic real polynomials with respect to the unit circle is developed from a purely geometric point of view. This criterion is connected to the Schur-Cohn criterion resulting in generalizing the developed criterion to root distribution. Fundamental to the results is a geometric transformation related to the structure of the stability domain in the space of coefficients of the polynomial.

Original language	English
Pages (from-to)	494-496
Number of pages	3
Journal	IEEE Transactions on Automatic Control
Volume	27
Issue number	2
DOIs	https://doi.org/10.1109/TAC.1982.1102939
State	Published - Apr 1982

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abstract = "A new criterion for stability of monic real polynomials with respect to the unit circle is developed from a purely geometric point of view. This criterion is connected to the Schur-Cohn criterion resulting in generalizing the developed criterion to root distribution. Fundamental to the results is a geometric transformation related to the structure of the stability domain in the space of coefficients of the polynomial.",

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AB - A new criterion for stability of monic real polynomials with respect to the unit circle is developed from a purely geometric point of view. This criterion is connected to the Schur-Cohn criterion resulting in generalizing the developed criterion to root distribution. Fundamental to the results is a geometric transformation related to the structure of the stability domain in the space of coefficients of the polynomial.

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DO - 10.1109/TAC.1982.1102939

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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A Geometric Root Distribution Criterion

Abstract

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