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Algebraic and Differential Topology of Robust Stability

Algebraic and Differential Topology of Robust Stability

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Author: Edmond A. Jonckheere
Publisher: Oxford University Press, USA
Category: Book

List Price: $210.00
Buy Used: $24.00
You Save: $186.00 (89%)



New (13) Used (29) from $24.00

Sales Rank: 2227014

Media: Hardcover
Pages: 624
Number Of Items: 1
Shipping Weight (lbs): 2.4
Dimensions (in): 9.5 x 6.4 x 1.6

ISBN: 0195093011
Dewey Decimal Number: 629.8312015142
EAN: 9780195093018

Publication Date: May 29, 1997
Availability: Usually ships in 1-2 business days
Condition: Green cloth with gilt titles; no jacket. Covers show slight wear. Interior is bright; clean and unmarked; 576 pages.

Editorial Reviews:

Product Description
In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together. The book develops algebraic/differential topology from an application-oriented point of view. The book takes the reader on a path starting from a well-motivated robust stability problem, showing the relevance of the simplicial approximation theorem and how it can be efficiently implemented using computational geometry. The simplicial approximation theorem serves as a primer to more serious topological issues such as the obstruction to extending the Nyquist map, K-theory of robust stabilization, and eventually the differential topology of the Nyquist map, culminating in the explanation of the lack of continuity of the stability margin relative to rounding errors. The book is suitable for graduate students in engineering and/or applied mathematics, academic researchers and governmental laboratories.

 
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