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Studies in Systems, Decision and Control

Formal Methods for Discrete-Time Dynamical Systems

Authors: Belta, Calin, Yordanov, Boyan, GÖL, EBRU

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  • Provides a self-contained exposition of temporal logic control for finite nondeterministic systems, which are useful even for seasoned formal methods researchers
  • Presents formal verification and control algorithms for discrete-time dynamical systems
  • Intended for a broad audience of scientists and engineers interested in formal methods and controls
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eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-50763-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-50762-0
  • 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
Softcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-84485-5
  • 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 book

This book bridges fundamental gaps between control theory and formal methods. Although it focuses on discrete-time linear and piecewise affine systems, it also provides general frameworks for abstraction, analysis, and control of more general models.
The book is self-contained, and while some mathematical knowledge is necessary, readers are not expected to have a background in formal methods or control theory. It rigorously defines concepts from formal methods, such as transition systems, temporal logics, model checking and synthesis. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix. Several examples and illustrations help readers understand and visualize the concepts introduced throughout the book.

Reviews

“This work is suitable both for researchers from these fields, and also young graduates, provided they are familiar with fundamental concepts of systems theory and theoretical computer science. A strong feature of this work is its plethora of examples, which greatly help in understanding the presented theory, and also help the reader get an idea for the applications that can be considered.” (Lazaros Moysis, zbMATH 1409.93003, 2019)



“The book under review gives an introduction to and overview of particular verification methods for models of systems that evolve in discrete time and usually have unbounded state spaces. … The book can serve as a textbook for an advanced and specialised graduate course in formal methods or control theory.” (Martin Lange, Mathematical Reviews, February, 2018)

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-50763-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-50762-0
  • 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
Softcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-84485-5
  • 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
Formal Methods for Discrete-Time Dynamical Systems
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
89
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-50763-7
DOI
10.1007/978-3-319-50763-7
Hardcover ISBN
978-3-319-50762-0
Softcover ISBN
978-3-319-84485-5
Series ISSN
2198-4182
Edition Number
1
Number of Pages
XVIII, 284
Number of Illustrations
54 b/w illustrations, 39 illustrations in colour
Topics