Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach
The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1770 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear delay-differential systems with commensurate delays, an algebraic approach, Heide Gluesing-Luerssen, 2002, Berlin, Springer, 1 vol. (VI-176 p.), Lecture notes in mathematics, 3-540-42821-6 • Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach, Texte imprimé, 9783662206249 |
| LEADER | 03927nam a22004097a 4500 | ||
|---|---|---|---|
| 001 | 972090 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155218247 | ||
| 020 | |a 9783540455431 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.352 | ||
| 082 | |a 510 | ||
| 100 | 1 | |a Gluesing-Luerssen, Heide. | |
| 245 | 1 | 0 | |a Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach |c by Heide Gluesing-Luerssen. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1770 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- The Algebraic Framework -- The Algebraic Structure of H_0. Divisibility Properties. Matrices over H_0. Systems over Rings: A Brief Survery. The Nonfinitely Generated Ideals of H_0. The Ring H as a Convolution Algebra. Computing the Bezout Identity -- Behaviors of Delay-Differential Systems. The Lattice of Behaviors. Input/Output Systems. Transfer Classes and Controllable Systems. Subbehaviors and Interconnections. Assigning the Characteristic Function. Biduals of Nonfinitely Generated Ideals -- First-Order Representations. Multi-Operator Systems. The Realization Procedure of Fuhrmann. First-Order Realizations. Some Minimality Issues. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object is an operator algebra which turns out to be an elementary divisor domain and thus provides the main tool for investigating the corresponding matrix equations. The book also reports the results obtained so far for delay-differential systems with noncommensurate delays. Moreover, whenever possible it points out similarities and differences to the behavioral theory of multidimensional systems, which is based on a great deal of algebraic structure itself. The presentation is introductory and self-contained. It should also be accessible to readers with no background in delay-differential equations or behavioral systems theory. The text should interest researchers and graduate students. | ||
| 650 | |a Équations différentielles à retard | ||
| 650 | |a Systèmes linéaires | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Mathématiques | ||
| 650 | |a Calcul des variations | ||
| 650 | |a Algèbre | ||
| 776 | 0 | |0 078892597 |t Linear delay-differential systems with commensurate delays |o an algebraic approach |f Heide Gluesing-Luerssen |d 2002 |c Berlin |n Springer |p 1 vol. (VI-176 p.) |s Lecture notes in mathematics |z 3-540-42821-6 | |
| 776 | 0 | |t Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach |b Texte imprimé |z 9783662206249 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/82934 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-PQ0QFSBF-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750645369 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/82934 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753996359 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/82934 |z Accès INSA CVL | |
| 997 | |0 972090 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||