A State Space Approach to Canonical Factorization with Applications
The present book deals with canonical factorization problems for di?erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in suc...
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| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2010. |
| Colecção: | Operator Theory: Advances and Applications
200 |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A state space approach to canonical factorization with applications, Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C. M. Ran, 2010, Basel, Birkkhäuser, 1 vol. (xii-423 p.), Operator theory, 978-3-7643-8752-5 • A State Space Approach to Canonical Factorization with Applications, Texte imprimé, 9783764398224 • A state space approach to canonical factorization with applications, Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C. M. Ran, 2010, Basel, Birkkhäuser, 1 vol. (xii-423 p.), Operator theory, 978-3-7643-8752-5 |
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| 100 | 1 | |a Bart, Harm, |d 1942- | |
| 245 | 1 | 0 | |a A State Space Approach to Canonical Factorization with Applications |c by Harm Bart, Marinus A. Kaashoek, André C. M. Ran. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Operator Theory: Advances and Applications |v 200 |x 2296-4878 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Convolution equations, canonical factorization and the state space method The role of canonical factorization in solving convolution equations The state space method and factorization Convolution equations with rational matrix symbols Explicit solutions using realizations Factorization of non-proper rational matrix functions Equations with non-rational symbols Factorization of matrix functions analytic in a strip Convolution equations and the transport equation Wiener-Hopf factorization and factorization indices Factorization of selfadjoint rational matrix functions Preliminaries concerning minimal factorization Factorization of positive definite rational matrix functions Pseudo-spectral factorizations of selfadjoint rational matrix functions Review of the theory of matrices in indefinite inner product spaces Riccati equations and factorization Canonical factorization and Riccati equations The symmetric algebraic Riccati equation J-spectral factorization Factorizations and symmetries Factorization of positive real rational matrix functions Contractive rational matrix functions J-unitary rational matrix functions Applications of J-spectral factorizations Application to the rational Nehari problem Review of some control theory for linear systems H-infinity control applications | |
| 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 present book deals with canonical factorization problems for di?erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su?cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di?erent ?elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem of canonical factorization also appears in other branches of applied analysis and in mathematical systems theory, in H -control theory in particular | ||
| 700 | 1 | |a Kaashoek, Marinus A., |d 1937- |4 aut | |
| 700 | 1 | |a Ran, André C. M., |d 1956- |4 aut | |
| 776 | 0 | |0 144646420 |t A state space approach to canonical factorization with applications |f Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C. M. Ran |d 2010 |c Basel |n Birkkhäuser |p 1 vol. (xii-423 p.) |s Operator theory |z 978-3-7643-8752-5 | |
| 776 | 0 | |t A State Space Approach to Canonical Factorization with Applications |b Texte imprimé |z 9783764398224 | |
| 776 | 0 | |0 144646420 |t A state space approach to canonical factorization with applications |f Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C. M. Ran |d 2010 |c Basel |n Birkkhäuser |p 1 vol. (xii-423 p.) |s Operator theory |z 978-3-7643-8752-5 | |
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| 997 | |0 943598 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||