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Filling a gap in the literature, this volume offers the first comprehensive analysis of all the major types of system models. Throughout the text, there are many examples and applications to important classes of systems in areas such as power and energy, feedback control, artificial neural networks, digital signal processing and control, manufacturing, computer networks, and socio-economics. Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in a huge variety of fields.
Sommario
Dynamical Systems.- Fundamental Theory: The Principal Stability and Boundedness Results on Metric Spaces.- Fundamental Theory:Specialized Stability and Boundedness Results on Metric Spaces.- Applications to a Class of Discrete-Event Systems.- Finite-Dimensional Dynamical Systems.- Finite-Dimensional Dynamical Systems: Specialized Results.- Applications to Finite-Dimensional Dynamical Systems.- Infinite-Dimensional Dynamical Systems.
Relazione
From the reviews:
"The book under review provides a single comprehensive source for the materials and results on stability analysis of all the dynamical systems ... . contains numerous problems and suggestions for further study at the end of the main chapters. This book will be an excellent source of material for beginning graduate students studying the stability theory of dynamical systems and for self study by researchers and practitioners interested in systems theory of engineering, computer science, chemistry, life sciences and economics." (Olusola Akinyele, Mathematical Reviews, Issue 2008 i)
"The goal of this book is to provide a reference text for graduate students and researchers on stability theory for the class of systems encountered in modern applications. In this respect, the goal is indeed achieved since the book offers a self-contained presentation of stability theory.
...[In chapter 2] special care is taken to highlight the key concepts and ingredients, and an effort is made to consider all classes of systems that are relevant to applications. In addition, several important issues illustrating properties of solutions are highlighted by means of elementary, yet carefully selected, examples...The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems...[Chapters 6, 7, and 8] contain several nonstandard results and examples, thus making interesting reading even for experts.
...The use of this book as a reference text in stability theory is facilitated by an extensive index...In conclusion, Stability of Dynamical Systems: Continuous, Discontinuous, and Discrete Systems is a very interesting book, which complements the existing literature. The book is clearly written, and difficult concepts are illustrated by means of good examples. The book is suitable for readers with a solid mathematical background as well as some basic systems and control knowledge. The book should provide a useful reference for researchers working in control theory as well as for Ph.D. students." ( Alessandro Astolfi, IEEE Control Systems Magazine, February 2009)
