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Systems & Control: Foundations & Applications

Mathematical Control Theory

An Introduction

Authors: Zabczyk, Jerzy

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  • Introduces control theory with a number of helpful examples and applications, making it ideal for a one-semester course
  • Covers topics frequently overlooked by introductory books, such as the realization of both linear and nonlinear systems, impulsive control, and positive linear systems
  • Second edition includes new chapters, proofs, theorems, and results, greatly expanding its scope
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  • ISBN 978-3-030-44778-6
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Hardcover $79.99
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About this Textbook

This textbook presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus.

In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems.

This second edition includes new chapters that introduce a variety of topics, such as controllability with vanishing energy, boundary control systems, and delayed systems. With additional proofs, theorems, results, and a substantially larger index, this new edition will be an invaluable resource for students and researchers of control theory.

Mathematical Control Theory: An Introduction will be ideal for a beginning graduate course in mathematical control theory, or for self-study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory.

From reviews of the first edition:

At last! We did need an introductory textbook on control which can be read, understood, and enjoyed by anyone. Gian-Carlo Rota, The Bulletin of Mathematics Books

It covers a remarkable number of topics...The exposition is excellent, and the book is a joy to read. A novel one-semester course covering both linear and nonlinear systems could be given...The book is an excellent one for introducing a mathematician to control theory. Bulletin of the AMS

Indeed, for mathematicians who look for the basic ideas or a general picture about the main branches of control theory, I believe this book can provide an excellent bridge to this area. IEEE Control Systems Magazine

About the authors

Jerzy Zabczyk is Professor Emeritus at the Institute of Mathematics at the Polish Academy of Sciences in Warsaw, Poland. His research interests include deterministic and stochastic control theory, stochastic and deterministic partial differential equations, and mathematical finance. He is the author of more than ninety research papers, and seven mathematical books.

Table of contents (18 chapters)

Table of contents (18 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-030-44778-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Control Theory
Book Subtitle
An Introduction
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-44778-6
DOI
10.1007/978-3-030-44778-6
Hardcover ISBN
978-3-030-44776-2
Series ISSN
2324-9749
Edition Number
2
Number of Pages
XXVI, 336
Number of Illustrations
4 b/w illustrations, 1 illustrations in colour
Topics