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Algebraic and Differential Topology of Robust Stability
Contributor(s): Jonckheere, Edmond A. (Author)

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 ISBN: 0195093011     ISBN-13: 9780195093018
Publisher: Oxford University Press, USA
OUR PRICE: $367.50  

Binding Type: Hardcover - See All Available Formats & Editions
Published: May 1997
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Annotation: 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.
Additional Information
BISAC Categories:
- Technology & Engineering | Robotics
- Mathematics | Algebra - General
- Mathematics | Topology - General
Dewey: 629.831
LCCN: 95049073
Physical Information: 1.56" H x 6.42" W x 9.48" L (2.40 lbs) 624 pages
Features: Bibliography, Illustrated, Index, Maps
 
Descriptions, Reviews, Etc.
Publisher 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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