Overview
- First research monograph devoted to the analysis of the control of singularly perturbed linear time delay systems
- Brings together and further develops the author’s previous research on the topic
- Presents material in a comprehensive, self-contained manner, allowing for chapters to be studied independently or consecutively
Part of the book series: Systems & Control: Foundations & Applications (SCFA)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
The book is rich in content and detailed in proof. One of the biggest features of this book is that theoretical results, obtained in the book, are illustrated by numerous examples … which is more convenient for readers to read and understand. The book can be helpful for researchers and engineers, working in … electrical engineering, mechanical and aerospace engineering … .” (Liping Chen, zbMATH 1472.93014, 2021)
Authors and Affiliations
Bibliographic Information
Book Title: Controllability of Singularly Perturbed Linear Time Delay Systems
Authors: Valery Y. Glizer
Series Title: Systems & Control: Foundations & Applications
DOI: https://doi.org/10.1007/978-3-030-65951-6
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-65950-9Published: 25 March 2021
Softcover ISBN: 978-3-030-65953-0Published: 29 March 2022
eBook ISBN: 978-3-030-65951-6Published: 24 March 2021
Series ISSN: 2324-9749
Series E-ISSN: 2324-9757
Edition Number: 1
Number of Pages: XII, 419