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This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.
From the reviews:
"The scope of the present book is comprehensive and includes a variety of topics related to the theory of systems and control. The main frame is the notion of control flow with its global dynamics and linearization. Time-varying perturbations, global and local dynamics of control systems, as well as relevant numerical methods are treated.... The book is an excellent resource for the foundations and applications of control theory and nonlinear dynamics for mathematicians, physicists, and engineers. The point of view of the authors, who incorporated into this treatise a variety of topics from fields that were often considered rather separately, makes the book especially interesting." -Applications of Mathematics
"The Dynamics of Control provides a non traditional approach to the subjects of Dynamical Systems theory and Control theory. It is probably the first book where such notions as Morse decomposition, chain recurrence from dynamical systems theory are systematically used for control systems. ... self contained appendix is very helpful. ... The book contains many examples which are helpful in mastering the material. ... Also, the systematic use of dynamical systems theory as applied to control systems should be interesting to control theorists." (V. Zharnitsky, Dynamical Systems Magazine, April, 2008)
"The scope of the present book is comprehensive and includes a variety of topics related to the theory of systems and control. The main frame is the notion of control flow with its global dynamics and linearization. Time-varying perturbations, global and local dynamics of control systems, as well as relevant numerical methods are treated.... The book is an excellent resource for the foundations and applications of control theory and nonlinear dynamics for mathematicians, physicists, and engineers. The point of view of the authors, who incorporated into this treatise a variety of topics from fields that were often considered rather separately, makes the book especially interesting." -Applications of Mathematics
"The Dynamics of Control provides a non traditional approach to the subjects of Dynamical Systems theory and Control theory. It is probably the first book where such notions as Morse decomposition, chain recurrence from dynamical systems theory are systematically used for control systems. ... self contained appendix is very helpful. ... The book contains many examples which are helpful in mastering the material. ... Also, the systematic use of dynamical systems theory as applied to control systems should be interesting to control theorists." (V. Zharnitsky, Dynamical Systems Magazine, April, 2008)