Algebraic and Differential Topology of Robust Stability

Jonckheere, Edmond A.

ISBN 10: 0195093011 / ISBN 13: 9780195093018

Published by New York & Oxford: Oxford University Press, 1997

About this Item

Inscribed & signed by author on 1st free endpaper. Octavo in green cloth binding. Diagrams. Condition: minor wear to binding; author's name lettered on bottom edge of book block; else very good. Pages: xlvi, 576. Seller Inventory # 301089

Bibliographic Details

Title: Algebraic and Differential Topology of ...

Publisher: New York & Oxford: Oxford University Press

Publication Date: 1997

Binding: Hardcover

Condition: Very Good

Dust Jacket Condition: No Jacket

Signed: Inscribed by Author(s)

Edition: 1st Edition

About this title

Synopsis:

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.

About the Author:

Edmond A. Jonckheere is at University of Southern California.