Controllability of singularly perturbed linear time delay systems / Valery Y. Glizer.
2021
QA402
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Title
Controllability of singularly perturbed linear time delay systems / Valery Y. Glizer.
Author
Glizer, Valery Y., author.
ISBN
9783030659516 (electronic bk.)
3030659518 (electronic bk.)
303065950X
9783030659509
3030659518 (electronic bk.)
303065950X
9783030659509
Published
Cham, Switzerland : Birkhäuser, [2021.]
Language
English
Description
1 online resource (xii, 419 pages)
Item Number
10.1007/978-3-030-65951-6 doi
Call Number
QA402
Dewey Decimal Classification
003/.74
Summary
This monograph provides a comprehensive analysis of the control of singularly perturbed time delay systems. Expanding on the author's previous work on controllability of linear systems with delays in the state and control variables, this volume's comprehensive coverage makes it a valuable addition to the field. Each chapter is self-contained, allowing readers to study them independently or in succession. After a brief introduction, the book systematically examines properties of different classes of singularly perturbed time delay systems, including linear time-dependent systems with multiple point-wise and distributed state delays. The author then considers more general singularly perturbed systems with state and control delays. Euclidean space controllability for all of these systems is also discussed, using numerous examples from real-life models throughout the text to illustrate the results presented. More technically complicated proofs are presented in separate subsections. The final chapter includes a section dedicated to non-linear time delay systems. This book is ideal for researchers, engineers, and graduate students in systems science and control theory. Other applied mathematicians and researchers working in biology and medicine will also find this volume to be a valuable resource.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 15, 2021).
Series
Systems & control, 2324-9749
Available in Other Form
Print version: 9783030659509
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Table of Contents
Introduction
Singularly perturbed linear time delay systems
Euclidean space output controllability of linear systems with state delays
Complete Euclidean space controllability of linear systems with state and control delays
First-order Euclidean space controllability conditions for linear systems with small state delays
Miscellanies.
Singularly perturbed linear time delay systems
Euclidean space output controllability of linear systems with state delays
Complete Euclidean space controllability of linear systems with state and control delays
First-order Euclidean space controllability conditions for linear systems with small state delays
Miscellanies.