The Dynamics of Control [Hardcover]

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.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.Preface Introduction Dynamics, Perturbations, and Control Part I. Global Theory Control Sets Control Flows and Limit Behavior Part II. Linearization Theory Linear Flows and Vector Bundles Linearization at a Singular Point Part III. Applications One-Dimensional Control Systems Examples for Global Behavior Examples for the Spectrum Stability Radii and Robust Stability Open and Closed Loop Stabilization Dynamics of Perturbations Part IV. Appendices Geometric Control Theory Dynamical Systems Numerical Computation of Orbits Computation of the Spectrum by Lars Gr?ne Bibliography Index

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 l³r