Systems & Control

Foundations & Applications

By: Fritz Colonius, L. GrÃ¼ne, Wolfgang Kliemann

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Paperback | 11 October 2012

At a Glance

Paperback
648 Pages

Dimensions(cm)
23.5 x 15.49 x 3.3

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$249.00

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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.

Industry Reviews

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)

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