Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 89)
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Table of contents (12 chapters)
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Front Matter
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Transition Systems, Automata, and Temporal Logics
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Front Matter
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Analysis and Control of Finite Transition Systems
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Front Matter
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Analysis and Control of Discrete-Time Dynamical Systems
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Front Matter
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Back Matter
About this book
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)
Authors and Affiliations
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Boston University, Mechanical Engineering, Electrical and Computer Engineering, and Systems Engineering, Boston, USA
Calin Belta
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Microsoft Research Ltd, Biological Computation Group, Cambridge, United Kingdom
Boyan Yordanov
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Middle East Technical University, Department of Computer Engineering, Cankaya, Turkey
Ebru Aydin Gol
Bibliographic Information
Book Title: Formal Methods for Discrete-Time Dynamical Systems
Authors: Calin Belta, Boyan Yordanov, Ebru Aydin Gol
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-50763-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-50762-0Published: 17 March 2017
Softcover ISBN: 978-3-319-84485-5Published: 21 July 2018
eBook ISBN: 978-3-319-50763-7Published: 08 March 2017
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XVIII, 284
Number of Illustrations: 54 b/w illustrations, 39 illustrations in colour
Topics: Control and Systems Theory, Complexity, Systems Theory, Control