Hankel norm approximation for infinite-dimensional systems
Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without undue loss of accuracy. The accuracy can be mathematically measured in several possible norms and the Hankel norm is one such. The Hankel norm gives a meaningful notion of d...
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| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin ; Paris [etc.] :
Springer-Verlag Berlin Heidelberg : Springer e-books
[20..].
Cham : Springer Nature |
| Seria: | Lecture notes in control and information sciences
277 |
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| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Edition sous un autre format: | • Hankel norm approximation for infinite-dimensional systems, Amol Sasane, New York, Springer, 2002, VIII-142 p., Lecture notes in control and information sciences, 3-540-43327-9 • Hankel Norm Approximation for Infinite-Dimensional Systems, Texte imprimé, 9783662162491 |
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| 100 | 1 | |a Sasane, Amol, |d 1976- | |
| 245 | 1 | 0 | |a Hankel norm approximation for infinite-dimensional systems |c Amol Sasane. |
| 260 | |a Berlin ; |a Paris [etc.] : |b Springer-Verlag Berlin Heidelberg : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in control and information sciences |v 277 |x 1610-7411 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Classes of well-posed linear systems -- Compactness and nuclearity of Hankel operators -- Characterization of all solutions -- State space solutions -- The non-exponentially stable case -- The case of regular linear systems -- Coda. | |
| 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 Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without undue loss of accuracy. The accuracy can be mathematically measured in several possible norms and the Hankel norm is one such. The Hankel norm gives a meaningful notion of distance between two linear systems: roughly speaking, it is the induced norm of the operator that maps past inputs to future outputs. It turns out that the engineering problem of model reduction in the Hankel norm is closely related to the mathematical problem of finding solutions to the sub-optimal Nehari-Takagi problem, which is called "the sub-optimal Hankel norm approximation problem" in this book. Although the existence of a solution to the sub-optimal Hankel norm approximation problem has been known since the 1970s, this book presents explicit solutions and, in particular, new formulae for several large classes of infinite-dimensional systems for the first time. | ||
| 650 | |a Opérateurs de Hankel | ||
| 650 | |a Commande automatique | ||
| 650 | |a Théorie de la commande | ||
| 776 | 0 | |0 070301832 |t Hankel norm approximation for infinite-dimensional systems |f Amol Sasane |c New York |n Springer |d 2002 |p VIII-142 p. |s Lecture notes in control and information sciences |z 3-540-43327-9 | |
| 776 | 0 | |t Hankel Norm Approximation for Infinite-Dimensional Systems |b Texte imprimé |z 9783662162491 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/3-540-45877-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-F4FQX2VZ-2 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748140980 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/3-540-45877-8 |z Accès Université d'Orléans | |
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