New stability criteria for discrete linear systems based on orthogonal polynomials

Luis E. Garza; Noé Martínez; Gerardo Romero

doi:10.3390/MATH8081322

New stability criteria for discrete linear systems based on orthogonal polynomials

Luis E. Garza^*, Noé Martínez, Gerardo Romero

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szego transformation. Some examples are presented.

Original language	English
Article number	1322
Journal	Mathematics
Volume	8
Issue number	8
DOIs	https://doi.org/10.3390/MATH8081322
Publication status	Published - Aug 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 by the authors.

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.3390/MATH8081322

Cite this

@article{af1fdba7970847a1a7f3ca36b2b8166f,

title = "New stability criteria for discrete linear systems based on orthogonal polynomials",

abstract = "A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szego transformation. Some examples are presented.",

author = "Garza, {Luis E.} and No{\'e} Mart{\'i}nez and Gerardo Romero",

note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",

year = "2020",

month = aug,

doi = "10.3390/MATH8081322",

language = "English",

volume = "8",

journal = "Mathematics",

issn = "2227-7390",

publisher = "MDPI AG",

number = "8",

}

TY - JOUR

T1 - New stability criteria for discrete linear systems based on orthogonal polynomials

AU - Garza, Luis E.

AU - Martínez, Noé

AU - Romero, Gerardo

PY - 2020/8

Y1 - 2020/8

N2 - A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szego transformation. Some examples are presented.

AB - A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szego transformation. Some examples are presented.

UR - http://www.scopus.com/inward/record.url?scp=85090092041&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85090092041&partnerID=8YFLogxK

U2 - 10.3390/MATH8081322

DO - 10.3390/MATH8081322

M3 - Article

AN - SCOPUS:85090092041

SN - 2227-7390

VL - 8

JO - Mathematics

JF - Mathematics

IS - 8

M1 - 1322

ER -

New stability criteria for discrete linear systems based on orthogonal polynomials

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this