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

4 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

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Publisher Copyright:
© 2020 by the authors.

All Science Journal Classification (ASJC) codes

General Mathematics

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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.",

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AU - Romero, Gerardo

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New stability criteria for discrete linear systems based on orthogonal polynomials

Abstract

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