Stability of schur polynomials under coefficient perturbation

Shui Hsiu Lin; Te Son Kuo; Chen Fa Hsu; I. Kong Fong; Yau Tarng Juang

doi:10.1080/02533839.1989.9677190

Stability of schur polynomials under coefficient perturbation

Shui Hsiu Lin, Te Son Kuo, Chen Fa Hsu, I. Kong Fong, Yau Tarng Juang

電機工程學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

In this paper, we are concerned with the stability robustness of characteristic polynomials with perturbed coefficients for linear discrete-time systems. An upper bound on the allowable coefficient perturbation of a Schur polynomial with retaining stability is obtained. The proposed upper bound is directly formulated in terms of the polynomial under consideration and its value can be determined by numerical computation. We also provide a sufficient condition for the stability of interval polynomials.

原文	???core.languages.en_GB???
頁（從 - 到）	539-542
頁數	4
期刊	Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
卷	12
發行號	4
DOIs	https://doi.org/10.1080/02533839.1989.9677190
出版狀態	已出版 - 6月 1989

存取文件

10.1080/02533839.1989.9677190

引用此

@article{ff8a02f8d0ec45fdb7b5745db08c8b40,

title = "Stability of schur polynomials under coefficient perturbation",

abstract = "In this paper, we are concerned with the stability robustness of characteristic polynomials with perturbed coefficients for linear discrete-time systems. An upper bound on the allowable coefficient perturbation of a Schur polynomial with retaining stability is obtained. The proposed upper bound is directly formulated in terms of the polynomial under consideration and its value can be determined by numerical computation. We also provide a sufficient condition for the stability of interval polynomials.",

keywords = "Perturbation, Robustness, Stability",

author = "Lin, {Shui Hsiu} and Kuo, {Te Son} and Hsu, {Chen Fa} and Fong, {I. Kong} and Juang, {Yau Tarng}",

year = "1989",

month = jun,

doi = "10.1080/02533839.1989.9677190",

language = "???core.languages.en_GB???",

volume = "12",

pages = "539--542",

journal = "Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an",

issn = "0253-3839",

number = "4",

}

Stability of schur polynomials under coefficient perturbation. / Lin, Shui Hsiu; Kuo, Te Son; Hsu, Chen Fa; Fong, I. Kong; Juang, Yau Tarng.

於: Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an, 卷 12, 編號 4, 06.1989, p. 539-542.

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

TY - JOUR

T1 - Stability of schur polynomials under coefficient perturbation

AU - Lin, Shui Hsiu

AU - Kuo, Te Son

AU - Hsu, Chen Fa

AU - Fong, I. Kong

AU - Juang, Yau Tarng

PY - 1989/6

Y1 - 1989/6

N2 - In this paper, we are concerned with the stability robustness of characteristic polynomials with perturbed coefficients for linear discrete-time systems. An upper bound on the allowable coefficient perturbation of a Schur polynomial with retaining stability is obtained. The proposed upper bound is directly formulated in terms of the polynomial under consideration and its value can be determined by numerical computation. We also provide a sufficient condition for the stability of interval polynomials.

AB - In this paper, we are concerned with the stability robustness of characteristic polynomials with perturbed coefficients for linear discrete-time systems. An upper bound on the allowable coefficient perturbation of a Schur polynomial with retaining stability is obtained. The proposed upper bound is directly formulated in terms of the polynomial under consideration and its value can be determined by numerical computation. We also provide a sufficient condition for the stability of interval polynomials.

KW - Perturbation

KW - Robustness

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=0024699822&partnerID=8YFLogxK

U2 - 10.1080/02533839.1989.9677190

DO - 10.1080/02533839.1989.9677190

M3 - 期刊論文

AN - SCOPUS:0024699822

VL - 12

SP - 539

EP - 542

JO - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an

JF - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an

SN - 0253-3839

IS - 4

ER -

Stability of schur polynomials under coefficient perturbation

摘要

存取文件

指紋

引用此