ENGLISH

Algebraic and Differential Topology of Robust Stability

By Edmond A. Jonckheere

Book information

Year
1997
ISBN
0195093011, 9780195093018
LCC
QA402.3 .J66 1997
Open Library ID
OL811876M
Language
english
Format
PDF
Filesize
26 MB (27683770 bytes)
Edition
1ST
Pages
624\625
Time added
2011-06-04 13:46:07

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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