Hybrid Dynamical Systems: Modeling, Stability, and Robustness

Book Details

• Publisher: Princeton University Press

• Author: Andrew R. Teel

• Language: English

• ISBN: 9780691153896

• Binding: Hardcover

• Edition: 1st

• Release Date: 18-03-2012

• Pages: 232

• Package Dimensions: 9.3 x 6.3 x 0.8 inches

• Format: Illustrated

• Part Number: 45 line illustrations

About the Book

"Hybrid Dynamical Systems" by Andrew R. Teel offers a comprehensive theory of robust asymptotic stability for hybrid dynamical systems, a class of systems exhibiting both continuous and instantaneous changes. These systems, featuring both continuous-time and discrete-time dynamics, are crucial for the design of hybrid control algorithms, which include elements like logic, timers, and combinations of digital and analog components.

This self-contained, classroom-tested book presents Lyapunov conditions, invariance principles, and approximation techniques for hybrid systems, providing insights into their stability and robustness. The content is designed for those interested in control systems, computer science, and mathematics, with a special focus on hybrid control algorithms.

Key Features:

• Unified Theory of Hybrid Systems: The book consolidates earlier developments in continuous-time and discrete-time nonlinear systems and generalizes them to hybrid systems.

• Robust Stability Focus: Learn how to design robust hybrid control algorithms with a focus on asymptotic stability and the tools of mathematical analysis.

• Practical Applications: Essential for graduate students in engineering, mathematics, and computer science, this book is also valuable for researchers working on hybrid dynamical systems in scientific fields.

• Clear Exposition: The book provides a clean, technical introduction to the field, from elementary definitions to the latest contributions, making it accessible for both new learners and experienced researchers.

"Hybrid Dynamical Systems" is ideal for graduate students and researchers in control systems, nonlinear systems, and computer science, offering a deep dive into the theory and practical aspects of hybrid systems and their stability.