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Invariance entropy for deterministic control systems : an introduction

著者: Christoph Kawan; SpringerLink (Online service)
出版商: Cham, Switzerland : Springer, ©2013.
丛书: Lecture notes in mathematics (Springer-Verlag), 2089.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
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  再读一些...
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类型/形式: Electronic books
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Christoph Kawan; SpringerLink (Online service)
ISBN: 9783319012889 3319012886
OCLC号码: 859575294
描述: 1 online resource (xxii, 270 p.) : ill.
内容: 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.
丛书名: Lecture notes in mathematics (Springer-Verlag), 2089.
责任: Christoph Kawan.
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摘要:

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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