Description: Algebraic and Differential Topology of Robust Stability, Hardcover by Jonckheere, Edmond A., ISBN 0195093011, ISBN-13 9780195093018, Brand New, Free shipping in the US In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together. Th develops algebraic/differential topology from an application-oriented point of view. Th 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. Th is suitable for graduate students in engineering and/or applied mathematics, academic researchers and governmental laboratories.
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Book Title: Algebraic and Differential Topology of Robust Stability
Number of Pages: 624 Pages
Publication Name: Algebraic and Differential Topology of Robust Stability
Language: English
Publisher: Oxford University Press, Incorporated
Subject: Mechanics / Dynamics, Algebra / General, Topology
Publication Year: 1997
Item Height: 1.3 in
Type: Textbook
Item Weight: 37.7 Oz
Subject Area: Mathematics, Science
Author: Edmond A. Jonckheere
Item Length: 9.5 in
Item Width: 6.3 in
Format: Hardcover
