Invariance entropy for deterministic control systems : An Introduction
This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dynamical system connec...
Kaydedildi:
| Yazar: | |
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| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Cham :
Springer International Publishing
[20..].
Cham : Springer Nature |
| Edisyon: | 1st ed. 2013. |
| Seri Bilgileri: | Lecture Notes in Mathematics
2089 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
l'impression du document génère 290 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Invariance entropy for deterministic control systems, an introduction, Christoph Kawan, Cham [etc.], Springer, 2013, 1 vol. (XXII-270 p.), Lecture notes in mathematics, 978-3-319-01287-2 • Invariance entropy for deterministic control systems, an introduction, Christoph Kawan, Cham [etc.], Springer, 2013, 1 vol. (XXII-270 p.), Lecture notes in mathematics, 978-3-319-01287-2 • Invariance Entropy for Deterministic Control Systems, Texte imprimé, 9783319012896 |
| Özet: | This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dynamical system connected by a digital channel, invariance entropy provides a measure for the smallest data rate above which it is possible to render a given subset of the state space invariant by means of a symbolic coder-controller pair. This concept is essentially equivalent to the notion of topological feedback entropy introduced by Nair, Evans, Mareels and Moran (Topological feedback entropy and nonlinear stabilization. IEEE Trans. Automat. Control 49 (2004), 1585 1597). The book presents the foundations of a theory which aims at finding expressions for invariance entropy in terms of dynamical quantities such as Lyapunov exponents. While both discrete-time and continuous-time systems are treated, the emphasis lies on systems given by differential equations |
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| Diğer Bilgileri: | l'impression du document génère 290 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliyografya: | Bibliogr. Index |
| ISBN: | 9783319012889 |
| ISSN: | 1617-9692 |
| Erişim: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |