Topics in multidimensional linear systems theory
The past few decades have witnessed an increasing interest in the field of multidimensional systems theory. This is concerned with systems whose trajectories depend not on one single variable (usually interpreted as time or frequency), but on several independent variables, such as the coordinates of...
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| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
London ; Paris [etc.] :
Springer-Verlag London Limited : Springer e-books
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in control and information sciences
256 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| Edition sous un autre format: | • Topics in multidimensional linear systems theory, Eva Zerz, London, Springer, 2000, X-164 p., Lecture notes in control and information sciences, 1-85233-336-7 • Topics in Multidimensional Linear Systems Theory, Texte imprimé, 9781447139454 |
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| 245 | 1 | 0 | |a Topics in multidimensional linear systems theory |c Eva Zerz. |
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| 505 | 0 | |a Controllability of multidimensional systems -- Co-prime factorizations of multivariate rational matrices -- Stabilizability -- Strict system equivalence -- First order representations of multidimensional systems -- Linear fractional transformations -- Electrical networks. | |
| 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 past few decades have witnessed an increasing interest in the field of multidimensional systems theory. This is concerned with systems whose trajectories depend not on one single variable (usually interpreted as time or frequency), but on several independent variables, such as the coordinates of an image. The behavioural approach introduced by J. C. Willems provides a particularly suitable framework for developing a linear systems theory in several variables. The book deals with the classical concepts of autonomy, controllability, observability, and stabilizability. All the tests and criteria given are constructive in the sense that algorithmic versions may be implemented in modern computer algebra systems, using Gröbner basis techniques. There is a close connection between multidimensional systems theory and robust control of one-dimensional systems with several uncertain parameters. The central link consists in the basic tool of linear fractional transformations. The book concludes with examples from the theory of electrical networks. | ||
| 650 | |a Systèmes linéaires | ||
| 650 | |a Ingénierie | ||
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