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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...

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Detalles Bibliográficos
Autor principal: Kawan, Christoph
Lenguaje:eng
Publicado: Springer 2013
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-01288-9
http://cds.cern.ch/record/1690663
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author Kawan, Christoph
author_facet Kawan, Christoph
author_sort Kawan, Christoph
collection CERN
description 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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spelling cern-16906632021-04-21T21:14:12Zdoi:10.1007/978-3-319-01288-9http://cds.cern.ch/record/1690663engKawan, ChristophInvariance entropy for deterministic control systems: an introductionMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:16906632013
spellingShingle Mathematical Physics and Mathematics
Kawan, Christoph
Invariance entropy for deterministic control systems: an introduction
title Invariance entropy for deterministic control systems: an introduction
title_full Invariance entropy for deterministic control systems: an introduction
title_fullStr Invariance entropy for deterministic control systems: an introduction
title_full_unstemmed Invariance entropy for deterministic control systems: an introduction
title_short Invariance entropy for deterministic control systems: an introduction
title_sort invariance entropy for deterministic control systems: an introduction
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-01288-9
http://cds.cern.ch/record/1690663
work_keys_str_mv AT kawanchristoph invarianceentropyfordeterministiccontrolsystemsanintroduction