New stability criteria for discrete linear systems based on orthogonal polynomials
- Luis E. Garza,
- Noé Martínez,
- Gerardo Romero
- Universidad de Colima,
- Universidad Autónoma de Tamaulipas
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6
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0.46
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3
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51
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.
Publication Information
Output type
Research Output: Contribution to journal Article Peer-review
Original language
EnglishArticle number
1322Journal (Volume, Issue Number)
Mathematics (Volume 8, Issue 8)Publication milestones
- Published - 08/2020
Publication status
Published - 08/2020
Publication IDs
- Scopus: 85090092041
Funding Details
The work of the first author was supported by México's Conacyt Grant 287523. The work of Gerardo Romero and Noé Martínez was supported by Universidad Autónoma de Tamaulipas, under grants: P/PROFEXCE-2020-28MSU0010B-20, PROINNOVA-2018-250105, PROINNOVA-2018-250586, PROINNOVA-2018-250540, PROINNOVA-2018-250113, PROINNOVA-2018-250117, PROINNOVA-2018-250160 and PROINNOVA-2018-250255.
FundersFunding numbers
México's Conacyt
287523
UAT
PROINNOVA-2018-250117, PROINNOVA-2018-250105, PROINNOVA-2018-250160, PROINNOVA-2018-250540, P/PROFEXCE-2020-28MSU0010B-20, PROINNOVA-2018-250113, PROINNOVA-2018-250586, PROINNOVA-2018-250255