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

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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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Editorial Reviews

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

Meet the Author

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.

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Table of Contents

Preface
1 Operators and Hardy spaces 1
2 Closed operators 17
3 Shift-invariance and causality 37
4 Stability and stabilization 63
5 Spaces of persistent signals 89
6 Delay systems 121
Bibliography 151
Index 162
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