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Invariance entropy for deterministic control systems : an introduction

作者: Christoph Kawan; SpringerLink (Online service)
出版商: Cham, Switzerland : Springer, ©2013.
叢書: Lecture notes in mathematics (Springer-Verlag), 2089.
版本/格式:   電子書 : 文獻 : 英語所有版本和格式的總覽
資料庫: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  再讀一些...
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類型/形式: Electronic books
資料類型: 文獻, 網際網路資源
文件類型: 網路資源, 電腦資料
所有的作者/貢獻者: Christoph Kawan; SpringerLink (Online service)
ISBN: 9783319012889 3319012886
OCLC系統控制編碼: 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.
叢書名: Lecture notes in mathematics (Springer-Verlag), 2089.
責任: 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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