The Dynamics of Control (Systems & Control: Foundations & Applications) - Tapa blanda

Colonius, Fritz; Kliemann, Wolfgang

 
9781461271079: The Dynamics of Control (Systems & Control: Foundations & Applications)
Tapa blanda
ISBN 10: 146127107X ISBN 13: 9781461271079
Editorial: Birkhäuser, 2012

Sinopsis

A book is never the sole accomplishment of the authors. It is built on the foun­ dation of established mathematics, and it benefits from current developments within the mathematical community. Many colleagues have contributed ideas, comments, and corrections to this volume. There are, first of all, our students C. Bauer, G. Grammel, 1. Greger, S. Grtinvogel, G. Hackl, and D. Szolnoki in Augs­ burg, and E. Joseph, R.-G. Lai, S. Lin, C.-M. Ou, and H. Wang in Ames. We have received comments from, among others, L. Arnold, V. Ayala, K. Grasse, D. Hinrichsen, R. Johnson, Y. Latushkin, J.L. Massera, F.J. de la Rubia, J. San Martin, L.A.B. San Martin, C. Scherer, H. Sussmann, L. Vargas, and W. Du. Special thanks go to a group of engineers who have helped us to identify important problems and have kept us honest in our claim of applicability of the theory: Ariaratnam, S. Namachchivaya, S. Shaw, S. Sinha, B. Spencer, V. Vittal, and W. Wedig. And we appreciate the work of the anonymous referees of our papers who have helped us in so many ways.

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De la contraportada

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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Editorial
Birkhäuser
Año de publicación
2012
Idioma
Inglés
ISBN 10 
146127107X
ISBN 13 
9781461271079
Encuadernación
Tapa blanda
Número de páginas
648
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9781461213512: The Dynamics of Control

Edición Destacada

ISBN 10:  1461213517 ISBN 13:  9781461213512
Editorial: Birkhäuser, 2011
Tapa blanda