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

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

by Jonathan R. Partington
     
 

ISBN-10: 0521837340

ISBN-13: 9780521837347

Pub. Date: 06/28/2015

Publisher: Cambridge University Press

"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,…  See more details below

Overview

"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.

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Product Details

ISBN-13:
9780521837347
Publisher:
Cambridge University Press
Publication date:
06/28/2015
Series:
London Mathematical Society Student Texts Series, #60
Pages:
176
Product dimensions:
6.10(w) x 9.10(h) x 0.60(d)

Table of Contents

Preface
1Operators and Hardy spaces1
2Closed operators17
3Shift-invariance and causality37
4Stability and stabilization63
5Spaces of persistent signals89
6Delay systems121
Bibliography151
Index162

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