Linear Operators and Linear Systems

An Analytical Approach to Control Theory

By: Jonathan R. Partington

Write A Review

Hardcover | 27 May 2004

At a Glance

Hardcover
178 Pages

Dimensions(cm)
22.86 x 15.24 x 1.42

Hardcover

RRP $211.95

$186.75

12%OFF

or 4 interest-free payments of $46.69 with

Ships in 5 to 7 business days

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.

Industry 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

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $49.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Applied Mathematics Differential Calculus & Equations Algebra

Other Editions and Formats

Paperback

Published: 1st April 2010

View Product

Operators and Hardy spaces
Closed operators
Shift-invariance and causality
Stability and stabilization
Spaces of persistent signals
Delay systems
Table of Contents provided by Publisher. All Rights Reserved.

Linear Operators and Linear Systems

An Analytical Approach to Control Theory

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Mathematics

Tomoko Fuse's Amazing Kusudama Origami

Geometric Paper Art from Japan's Leading Expert!

Humble Pi

A Comedy of Maths Errors

Collins Classics - The Republic

Collins Classics

The Art of Gathering

How We Meet and Why It Matters

The Times Ultimate Killer Su Doku Book 18

200 of the deadliest Su Doku puzzles

The Selfish Gene

40th Anniversary edition

Maths Sequences for the Early Years F-2

Challenging Children to Reason Mathematically

The Times Fiendish Su Doku Book 19

200 challenging Su Doku puzzles

Microsoft Power BI For Dummies

For Dummies (Computer/Tech)

Antifragile

Things That Gain from Disorder

Intro to Geometry

Grades 6 - 8

Statistics and Data Handling for Biologists

A Student's Guide

Statistics and Data Handling for Biologists

A Student's Guide

Algebra Workbook Grades 6-8

Algebra

Impact Dynamics

A Numerical Approach

Longitudinal Analysis of Real World Time-to-event Data in Health Care

Big Data Approach using R

Minds, Memes, and Manipulation

Psychological, Cognitive and Information Warfare in the Digital Space

Bayesian Workflow

Bayesian Workflow

Minds, Memes, and Manipulation

Psychological, Cognitive and Information Warfare in the Digital Space

Spectra of Signed Graphs

London Mathematical Society Lecture Note Series

Stochastic Control in Energy, Environmental and Resource Management Applications

Emerging Methodologies and Applications in Modelling, Identification and Control

Recent Advances in Information Systems

Proceedings of the ICRAIS, Pointe aux Piments, Mauritius, 10-12 September 2025

Advances in Nonlinear Dynamics

Proceedings of the Fourth International Nonlinear Dynamics Conference (NODYCON 2025) , Volume 1

This product is categorised by