Invariance entropy for deterministic control systems : an introduction
 Responsibility
 Christoph Kawan.
 Language
 English.
 Imprint
 Cham [Switzerland] : Springer, c2013.
 Physical description
 xxii, 270 p. : ill. ; 24 cm.
 Series
 Lecture notes in mathematics (SpringerVerlag) 2089.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QA3 .L28 V.2089  Unknown 
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Creators/Contributors
 Author/Creator
 Kawan, Christoph.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 263267) and index.
 Contents

 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.
 Publisher's Summary
 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 codercontroller 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), 15851597). 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 discretetime and continuoustime systems are treated, the emphasis lies on systems given by differential equations.
(source: Nielsen Book Data)9783319012872 20160612
Subjects
Bibliographic information
 Publication date
 2013
 Series
 Lecture notes in mathematics, 00758434 ; 2089
 ISBN
 9783319012872
 3319012878
 9783319012889 (online)