The Dynamic Morse Theory of Control Systems
This book provides insights into the dynamics of control systems with the integration of conceptions such as stability, controllability, attraction, and chain transitivity. It highlights the importance of Morse theory with its feature of describing the global dynamics of systems, presented here for the first time in control theory. The mathematical formulations are comprehensive, designed especially for students, researches, and professionals interested in qualitative studies of control systems. The reader will find the book an accessible source of basic definitions, properties, methods, examples, theorems, references, lists of problems, and open questions. Parts of the book may be used for courses or seminars in mathematics or control-theoretic engineering, and its reference guide will serve as a great resource for research projects and academic dissertations on control theory or dynamical systems.
Josiney A. Souza holds a PhD in Mathematics from the State University of Campinas, and is a Professor in the Department of Mathematics at the State University of Maringá, both of which are in Brazil. His interests include control systems, topological dynamics and Lie theory. He is the author of two books and more than 40 articles on attractors, Morse decomposition, chain transitivity, stability, controllability, recursiveness, dispersiveness, and uniformities.
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