Linear time-invariant discrete delay systems ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
Linear time-invariant discrete delay systems in Laguerre domain
Auteur(s) :
Medvedev, Alexander [Auteur]
Uppsala Universitet [Uppsala]
Bro, Viktor [Auteur]
Uppsala Universitet [Uppsala]
Ushirobira, Rosane [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Uppsala Universitet [Uppsala]
Bro, Viktor [Auteur]
Uppsala Universitet [Uppsala]
Ushirobira, Rosane [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Titre de la revue :
IEEE Transactions on Automatic Control
Pagination :
2677 - 2683
Éditeur :
Institute of Electrical and Electronics Engineers
Date de publication :
2022
ISSN :
0018-9286
Mot(s)-clé(s) en anglais :
Delay systems
Linear systems
Modeling
Linear systems
Modeling
Discipline(s) HAL :
Sciences de l'ingénieur [physics]/Automatique / Robotique
Résumé en anglais : [en]
The paper provides the formulae connecting the Laguerre spectrum of the output signal of a linear discretetime time-invariant system to the Laguerre spectrum of its input signal and presents a standard state-space system ...
Lire la suite >The paper provides the formulae connecting the Laguerre spectrum of the output signal of a linear discretetime time-invariant system to the Laguerre spectrum of its input signal and presents a standard state-space system description. The Laguerre domain system representation is meaningful when the input signal is square-summable and the system is stable. A certain type of polynomials arising in the evaluation of the output spectrum due to the presence of time delay is defined and key properties of these are investigated. The polynomials are characterized by a three-term recurrence relation that also facilitates their numerically reliable calculation.Lire moins >
Lire la suite >The paper provides the formulae connecting the Laguerre spectrum of the output signal of a linear discretetime time-invariant system to the Laguerre spectrum of its input signal and presents a standard state-space system description. The Laguerre domain system representation is meaningful when the input signal is square-summable and the system is stable. A certain type of polynomials arising in the evaluation of the output spectrum due to the presence of time delay is defined and key properties of these are investigated. The polynomials are characterized by a three-term recurrence relation that also facilitates their numerically reliable calculation.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
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