| 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: $346.50 Product Type: Hardcover - Other Formats Published: May 1997 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" (2.40 lbs) 624 pages |
| 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. |