INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783319012889
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52377
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Invariance Entropy for Deterministic Control System
General Material Designation
[Book]
Other Title Information
:An Introduction
First Statement of Responsibility
/ by Christoph Kawan
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham
Name of Publisher, Distributor, etc.
: Springer International Publishing :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XXII, 270 p. 2 illus., 1 illus. in color., online resource.
SERIES
Series Title
(Lecture Notes in Mathematics,0075-8434
Volume Designation
; 2089)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
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.
Text of Note
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 -- Notation -- Bibliography -- Index.?╗╣
SERIES
Title
Lecture Notes in Mathematics,0075-8434
Volume Number
2089
TOPICAL NAME USED AS SUBJECT
Mathematics
Differentiable dynamical systems
Systems theory
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Kawan, Christoph.
PERSONAL NAME - SECONDARY RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783319012872.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783319012872.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
