Overview
- Is the first book to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments)
- Covers topics including switched, impulsive, and impulsive-switched systems with/without time delay and with/without random noise in one volume
- Focuses on establishing the important system properties using the elegant Lyapunov or Lyapunov–Razumikhin methods for time-delayed systems
- Includes results combing reliable control, H-infinity control, and ISS (input-to-state stability)
- Presents rigorous mathematical proofs enhanced with numerous illustrative, worked-out examples and simulations
Part of the book series: Nonlinear Physical Science (NPS)
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Table of contents (13 chapters)
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Front Matter
Keywords
About this book
This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin–Lyapunov methods to investigate the systems’ properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.
Authors and Affiliations
About the authors
Dr. Mohamad S. Alwan is a lecturer at the Department of Applied Mathematics at the University of Waterloo. Since 2004, his research interests have been directed towards broadening the research area of “Stochastic and Deterministic Hybrid Systems with/without Time Delay and Applications to Control Systems”. Specifically, he has been working on establishing many system properties and applying some of these properties to control systems. He has published several peer-reviewed journal papers, conference papers, and book chapters, most of which are included in the book.
Professor Xinzhi Liu is a faculty member of the Department of Applied Mathematics at the University of Waterloo. He received his Ph.D. degree in Applied Mathematics from the University of Texas at Arlington. He is an expert on hybrid dynamical systems, stability theory and control methods. He has been the editor-in- chief of the Journal--Dynamics of Continuous, Discrete and Impulsive Systems since 1995. He has published over 300 research papers and 3 monographs and 20 edited books on different topics in the field of dynamical systems.
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Bibliographic Information
Book Title: Theory of Hybrid Systems: Deterministic and Stochastic
Authors: Mohamad S. Alwan, Xinzhi Liu
Series Title: Nonlinear Physical Science
DOI: https://doi.org/10.1007/978-981-10-8046-3
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. and Higher Education Press, Beijing 2018
Hardcover ISBN: 978-981-10-8045-6Published: 12 October 2018
Softcover ISBN: 978-981-13-4047-5Published: 09 February 2019
eBook ISBN: 978-981-10-8046-3Published: 04 October 2018
Series ISSN: 1867-8440
Series E-ISSN: 1867-8459
Edition Number: 1
Number of Pages: XVI, 241
Number of Illustrations: 1 b/w illustrations, 37 illustrations in colour
Additional Information: Jointly published with Higher Education Press Limited Company, Beijing, China
Topics: Control and Systems Theory, Systems Theory, Control, Applications of Nonlinear Dynamics and Chaos Theory, Mathematical Methods in Physics, Statistical Physics and Dynamical Systems, Mathematical Physics