Algebraic and differential topology of robust stability

＜図書＞
Algebraic and differential topology of robust stability

責任表示	Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho
データ種別	図書
出版情報	New York : Oxford University Press , 1997
本文言語	英語
大きさ	xlvi, 576 p. : ill. ; 25 cm
概要	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 ...iew. 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. 続きを見る

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	JONC/10/1	997		023211997005765		予約・取寄			予約・取寄

一般注記	Includes bibliographical references and index
著者標目	*Jonckheere, Edmond A., 1954- Cheng, Chih-Yung Li, Yü, 937-978 Coutinho, Murilo G.
件　名	LCSH:Control theory LCSH:Algebraic topology LCSH:Differential topology
分　類	LCC:QA402.3 DC20:629.8/312/015142
書誌ID	1001402515
ISBN	0195093011
NCID	BA30983103
巻冊次	ISBN:0195093011
登録日	2009.11.02
更新日	2009.11.02