Formal Methods for Discrete-Time Dynamical Systems

Calin Belta author Boyan Yordanov author Ebru Aydin Gol author

Format:Hardback

Publisher:Springer International Publishing AG

Published:17th Mar '17

Currently unavailable, and unfortunately no date known when it will be back

Formal Methods for Discrete-Time Dynamical Systems cover

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.

“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, 2

ISBN: 9783319507620

Dimensions: unknown

Weight: 5797g

284 pages

1st ed. 2017