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Universitext

The Mathematics of Networks of Linear Systems

Authors: Fuhrmann, Paul, Helmke, Uwe

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  • Presents a systematic study that develops the functional model approach for multivariable linear systems.
  • Provide a bridge between classical frequency response techniques and state space  approaches, thereby providing a unified algebraic approach to systems with different kind of system representations.
  • Contains many examples, exercises and notes and references that complement the main text. Book should thus be suitable for self-study, as well as courses and seminars.
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eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-319-16646-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-16645-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as well as feedback control and observer theory. The potential of networks for linear systems in controlling large-scale networks of interconnected dynamical systems could provide insight into a diversity of scientific and technological disciplines. The scope of the book is quite extensive, ranging from introductory material to advanced topics of current research, making it a suitable reference for graduate students and researchers in the field of networks of linear systems. Part I can be used as the basis for a first course in Algebraic System Theory, while Part II serves for a second, advanced, course on linear systems.

Finally, Part III, which is largely independent of the previous parts, is ideally suited for advanced research seminars aimed at preparing graduate students for independent research. “Mathematics of Networks of Linear Systems” contains a large number of exercises and examples throughout the text making it suitable for graduate courses in the area.

About the authors

Paul A. Fuhrmann is Professor Emeritus in the Department of Mathematics at Ben-Gurion University of the Negev. His current research interests are in the following directions: Algebraic System Theory, control, observation and model reduction for networks of linear systems.

Uwe Helmke is Professor and Chair in Dynamical Systems and Control Theory at the University of Wuerzburg. His current research interests include Algebraic and Differential-Geometric Methods in Control, Linear Systems Theory, Optimization on Manifolds, Formation Control.

Reviews

“In the voluminous book under review the authors illustrate their perspective on modelling and control of networks of linear finite-dimensional systems. … This is an excellent book that can be appreciated both by readers familiar with the polynomial approach, and by readers unaccustomed to functional models. … The historical sections at the end of each chapter are helpful because they explain the broader context and suggest further reading to both types of readers.” (Paolo Rapisarda, Mathematical Reviews, March, 2016)


Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-319-16646-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-16645-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematics of Networks of Linear Systems
Authors
Series Title
Universitext
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-16646-9
DOI
10.1007/978-3-319-16646-9
Softcover ISBN
978-3-319-16645-2
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XIV, 662
Number of Illustrations
53 b/w illustrations
Topics