__The Dynamics of Control__ provides a carefully integrated development of the mathematical connections between nonlinear control, dynamical systems, and time-varying perturbed systems for scientists and engineers. The central theme is the notion of control flow with its global dynamics and linearization presented in detail.
The book's scope is comprehensive and includes global theory of dynamical systems under time-varying perturbations, global and local dynamics of control systems, connections between control systems and dynamical systems and the relevant numerical methods for global dynamics, linearization, and stability. Topics are developed with a diverse and extensive selection of applied problems from control and dynamical systems.
Topics and Features:
\* complete coverage of unified theory of control flows
\* wide array of motivating problems from control and dynamical systems to appeal to mathematicians, scientists, and engineers
\* relevant motivation and a listing of important definitions and results at the beginning of each chapter
\* a compilation of essential background information in four appendices: nonlinear geometric control, topological theory of dynamical systems, computations of reachable sets, and numerical solution of Hamilton–Jacobi–Belman equations
\* discussion of numerical methods
This new text and self-study reference guide 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.

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nexusstc/The Dynamics of Control/cae58c35e6c897a790320b538e8b9c9f.pdf

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zlib/Engineering/Fritz Colonius, Wolfgang Kliemann (auth.)/The Dynamics of Control_2093162.pdf

by Fritz Colonius, Wolfgang Kliemann

Colonius, Fritz, Kliemann, Wolfgang

Springer Science + Busines Media

Birkhäuser Basel

Springer Nature

Systems et control: foundations et applications, Softcover repr. of the original 1. ed. 2000, Boston, 2012

Systems & Control: Foundations & Applications, Systems & control, Boston, MA, United States, 2000

Systems et Control: Foundations et Applications, Boston, MA, 2000

Softcover reprint of the original 1st ed. 2000, 2012

United States, United States of America

Systems & Control, Nueva York :, 2000

Springer Nature, Boston, MA, 2012

2, 20121206

sm23196344

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Online full text is restricted to subscribers.
Also available in print.
Mode of access: World Wide Web.

Front Matter....Pages i-xii
Introduction....Pages 1-6
Dynamics, Perturbations, and Control....Pages 7-44
Front Matter....Pages 45-45
Control Sets....Pages 47-88
Control Flows and Limit Behavior....Pages 89-135
Front Matter....Pages 137-137
Linear Flows on Vector Bundles....Pages 139-208
Bilinear Systems on Vector Bundles....Pages 209-253
Linearization at a Singular Point....Pages 255-307
Front Matter....Pages 309-309
One-Dimensional Control Systems....Pages 311-352
Examples for Global Behavior....Pages 353-375
Examples for the Spectrum....Pages 377-405
Stability Radii and Robust Stability....Pages 407-432
Open and Closed Loop Stabilization....Pages 433-475
Dynamics of Perturbations....Pages 477-497
Back Matter....Pages 499-629

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.
Erscheinungsdatum: 11.10.2012

2013-08-01