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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2013.
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| Edición: | 1st ed. 2013. |
| Colección: | Lecture Notes in Mathematics,
2089 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-01288-9 | ||
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| 020 | |a 9783319012889 |9 978-3-319-01288-9 | ||
| 024 | 7 | |a 10.1007/978-3-319-01288-9 |2 doi | |
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| 082 | 0 | 4 | |a 515.39 |2 23 |
| 100 | 1 | |a Kawan, Christoph. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Invariance Entropy for Deterministic Control Systems |h [electronic resource] : |b An Introduction / |c by Christoph Kawan. |
| 250 | |a 1st ed. 2013. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2013. | |
| 300 | |a XXII, 270 p. 2 illus., 1 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2089 | |
| 505 | 0 | |a Basic Properties of Control Systems -- Introduction to Invariance Entropy -- Linear and Bilinear Systems -- General Estimates -- Controllability, Lyapunov Exponents, and Upper Bounds -- Escape Rates and Lower Bounds -- Examples -- Notation -- Bibliography -- Index. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 1 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Systems Theory, Control . |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319012872 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319012896 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2089 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-01288-9 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
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| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||