| 000 | 03171nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-01288-9 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151520.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 131001s2013 gw | s |||| 0|eng d | ||
| 020 |
_a9783319012889 _9978-3-319-01288-9 |
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| 024 | 7 |
_a10.1007/978-3-319-01288-9 _2doi |
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| 050 | 4 | _aQA313 | |
| 072 | 7 |
_aPBWR _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aPBWR _2thema |
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| 082 | 0 | 4 |
_a515.39 _223 |
| 082 | 0 | 4 |
_a515.48 _223 |
| 100 | 1 |
_aKawan, Christoph. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aInvariance Entropy for Deterministic Control Systems _h[electronic resource] : _bAn Introduction / _cby Christoph Kawan. |
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2013. |
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| 300 |
_aXXII, 270 p. 2 illus., 1 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2089 |
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| 505 | 0 | _aBasic 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 | _aThis 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 | _aDifferentiable dynamical systems. | |
| 650 | 0 | _aSystems theory. | |
| 650 | 1 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
| 650 | 2 | 4 |
_aSystems Theory, Control. _0http://scigraph.springernature.com/things/product-market-codes/M13070 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319012872 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319012896 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2089 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-01288-9 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c10934 _d10934 |
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