Skip to main content
main-content

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.

Table of Contents

Frontmatter

Transition Systems, Automata, and Temporal Logics

Frontmatter

2017 | OriginalPaper | Chapter

Chapter 1. Transition Systems

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 2. Temporal Logics and Automata

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

Analysis and Control of Finite Transition Systems

Frontmatter

2017 | OriginalPaper | Chapter

Chapter 3. Model Checking

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 4. Largest Finite Satisfying Region

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 5. Finite Temporal Logic Control

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

Analysis and Control of Discrete-Time Dynamical Systems

Frontmatter

2017 | OriginalPaper | Chapter

Chapter 6. Discrete-Time Dynamical Systems

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 7. Largest Satisfying Region

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 8. Parameter Synthesis

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 9. Temporal Logic Control

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 10. Finite Bisimulations

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 11. Language Guided Controller Synthesis

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

2017 | OriginalPaper | Chapter

Chapter 12. Optimal Temporal Logic Control

Calin Belta, Boyan Yordanov, Ebru Aydin Gol

Backmatter

Additional information

Premium Partner

in-adhesivesMKVSNeuer Inhalt