Invariance Entropy for Deterministic Control Systems

An Introduction

By:

Christoph Kawan

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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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.

Release date Australia

October 14th, 2013

Author

Christoph Kawan

Audience

Professional & Vocational

Illustrations

1 Illustrations, color; 1 Illustrations, black and white; XXII, 270 p. 2 illus., 1 illus. in color.

Pages

270

Series

Lecture Notes in Mathematics

Dimensions

155x235x16

ISBN-13

9783319012872

Product ID

21503625

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