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souza j dynamic morse theory control systems 2020

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Textbook in PDF format 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. Introduction Fundamental Theory of Control systems Elementary Concepts Minimal sets and transitivity Limit sets and prolongations Asymptotic transitivity Attractors and repellers Chain transitivity Morse decompositions Dynamical systems Differentiable manifolds

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souza j dynamic morse theory control systems 2020