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

Colonius, Fritz; Kliemann, Wolfgang

 
9780817636838: The Dynamics of Control (Systems & Control: Foundations & Applications)
Tapa dura
ISBN 10: 0817636838 ISBN 13: 9780817636838
Editorial: Birkhäuser, 2000

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
2000
Idioma
Inglés
ISBN 10 
0817636838
ISBN 13 
9780817636838
Encuadernación
Tapa dura
Número de páginas
648
Contacto del fabricante
no disponible
Persona responsable
no disponible