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Linear Operators and Linear Systems: An Analytical Approach to Control Theory
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Specificaties
- Objectstaat
- Book Title
- Linear Operators and Linear Systems: An Analytical Approach to Co
- Publication Date
- 2004-03-15
- ISBN
- 9780521546195
- Subject Area
- Mathematics, Science
- Publication Name
- Linear Operators and Linear Systems : an Analytical Approach to Control Theory
- Publisher
- Cambridge University Press
- Item Length
- 9 in
- Subject
- Algebra / Abstract, Functional Analysis, System Theory
- Publication Year
- 2004
- Series
- London Mathematical Society Student Texts
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.4 in
- Item Weight
- 11.3 Oz
- Item Width
- 6.3 in
- Number of Pages
- 178 Pages
Over dit product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521546192
ISBN-13
9780521546195
eBay Product ID (ePID)
5980862
Product Key Features
Number of Pages
178 Pages
Language
English
Publication Name
Linear Operators and Linear Systems : an Analytical Approach to Control Theory
Subject
Algebra / Abstract, Functional Analysis, System Theory
Publication Year
2004
Type
Textbook
Subject Area
Mathematics, Science
Series
London Mathematical Society Student Texts
Format
Trade Paperback
Dimensions
Item Height
0.4 in
Item Weight
11.3 Oz
Item Length
9 in
Item Width
6.3 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2003-066665
Reviews
"The text is well suited for an advanced course on operator theory or mathematical system theory." A. Bultheel, Mathematical Reviews, 'The author has succeeded in covering a large amount of material in rather few pages. this volume gives a good introduction to the theory of infinite-dimensional systems, although mostly for those described by delay differential equations (rather than partial differential equations). It also contains much material that should be of interest to engineers and mathematicians. there are numerous examples and exercises, ranging from concrete to abstract, which contribute to delineate the natural limits of some of the results.' Zentralblatt MATH
Dewey Edition
22
Series Volume Number
Series Number 60
Illustrated
Yes
Dewey Decimal
515/.7246
Table Of Content
1. Operators and Hardy spaces; 2. Closed operators; 3. Shift-invariance and causality; 4. Stability and stabilization; 5. Spaces of persistent signals; 6. Delay systems.
Synopsis
This book presents an introduction to the common ground between operator theory and linear systems theory. Suitable for students of functional analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering., Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be entirely suitable for a course in functional analysis; at the same time, the book includes applications to partial differential equations, to the stability and stabilization of linear systems, to power signal spaces (including some recent material not previously available in books), and to delay systems, treated from an input/output point of view. Suitable for students of analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering., This volume presents an introduction to the common ground between operator theory and linear systems theory. Pure mathematical topics are included such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be suitable for a course in functional analysis. The book also includes applications to partial differential equations, the stability and stabilization of linear systems, power signal spaces, and delay systems, treated from an input/output point of view.
LC Classification Number
QA329.2.P37 2003
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