On the Robustness of Low-Order Schur Polynomials

F. J. Kraus; B. D.O. Anderson; E. I. Jury; M. Mansour

doi:10.1109/31.1786

On the Robustness of Low-Order Schur Polynomials

F. J. Kraus, B. D.O. Anderson, E. I. Jury, M. Mansour

School of Engineering

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33 Citations (Scopus)

Abstract

Robust stability conditions for low-order Schur polynomials are obtained. In particular, conditions for degree n = 2, 3, 4, and 5 are explicitly obtained. These conditions relate to stability of the corner points for n = 2, 3 and for corner and possible supplementary points for n = 4 and 5. Two counterexamples given in the literature are fully discussed in relation to the obtained conditions. Future research work on possible extension of the results to higher order Schur polynomials are discussed.

Original language	English
Pages (from-to)	570-577
Number of pages	8
Journal	IEEE Transactions on Circuits and Systems
Volume	35
Issue number	5
DOIs	https://doi.org/10.1109/31.1786
Publication status	Published - May 1988

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abstract = "Robust stability conditions for low-order Schur polynomials are obtained. In particular, conditions for degree n = 2, 3, 4, and 5 are explicitly obtained. These conditions relate to stability of the corner points for n = 2, 3 and for corner and possible supplementary points for n = 4 and 5. Two counterexamples given in the literature are fully discussed in relation to the obtained conditions. Future research work on possible extension of the results to higher order Schur polynomials are discussed.",

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AU - Jury, E. I.

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AB - Robust stability conditions for low-order Schur polynomials are obtained. In particular, conditions for degree n = 2, 3, 4, and 5 are explicitly obtained. These conditions relate to stability of the corner points for n = 2, 3 and for corner and possible supplementary points for n = 4 and 5. Two counterexamples given in the literature are fully discussed in relation to the obtained conditions. Future research work on possible extension of the results to higher order Schur polynomials are discussed.

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On the Robustness of Low-Order Schur Polynomials

Abstract

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