Linear Operators and Linear Systems: An Analytical Approach to Control Theory by

The Nile on eBay   Linear Operators and Linear Systems: An Analytical Approach to Control Theory by Jonathan R. Partington

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.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

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.

Author Biography

Jonathan R. Partington is a professor of Applied Functional Analysis at Leeds University. He has served as editor of Journal of the London Mathematical Society and is coordinator of Leeds node in European Research Training network in Analysis and Operators. Author of some 100 papers in mathematics and engineering, he is also the author of An Introduction to Hankel Operators and Interpolation, Identification and Sampling.

Table of Contents

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.

Review

'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 "The text is well suited for an advanced course on operator theory or mathematical system theory." A. Bultheel, Mathematical Reviews

Review Quote

"The text is well suited for an advanced course on operator theory or mathematical system theory." A. Bultheel, Mathematical Reviews

Promotional "Headline"

This book presents an introduction to the common ground between operator theory and linear systems theory.

Description for Bookstore

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.

Description for Library

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.

Details ISBN0521546192 Author Jonathan R. Partington Short Title LINEAR OPERATORS & LINEAR SYST Publisher Cambridge University Press Series London Mathematical Society Student Texts Language English ISBN-10 0521546192 ISBN-13 9780521546195 Media Book Format Paperback DEWEY 515.724 Series Number 60 Illustrations Yes Year 2004 Publication Date 2004-03-31 Imprint Cambridge University Press Subtitle An Analytical Approach to Control Theory Place of Publication Cambridge Country of Publication United Kingdom Pages 178 Birth 1955 Affiliation University of Leeds DOI 10.1604/9780521546195 Audience Professional and Scholarly UK Release Date 2004-03-15 AU Release Date 2004-03-15 NZ Release Date 2004-03-15 We've got this

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