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Invariance entropy for deterministic control systems : an introduction

Autor: Christoph Kawan
Editora: Cham, Switzerland : Springer, ©2013.
Séries: Lecture notes in mathematics (Springer-Verlag), 2089.
Edição/Formato   e-book : Documento : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
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  Ler mais...
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Detalhes

Gênero/Forma: Electronic books
Formato Físico Adicional: Printed edition:
Tipo de Material: Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Christoph Kawan
ISBN: 9783319012889 3319012886 3319012878 9783319012872
Número OCLC: 859575294
Descrição: 1 online resource (xxii, 270 pages) : illustrations.
Conteúdos: 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.
Título da Série: Lecture notes in mathematics (Springer-Verlag), 2089.
Responsabilidade: Christoph Kawan.
Mais informações:

Resumo:

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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From the book reviews: "The topics are well organized, the exposition is clear and there are examples to illustrate the theoretical results. This book is highly recommended for both researchers and Ler mais...

 
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