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<図書>
Two-scale stochastic systems : asymptotic analysis and control

責任表示 Yuri Kabanov, Sergei Pergamenshchikov
シリーズ Applications of mathematics ; 49
データ種別 図書
出版情報 Berlin : Springer , c2003
本文言語 英語
大きさ xiv, 266 p. ; 24 cm
概要 Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the col...ective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation. 続きを見る
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所蔵情報



理系図3F 数理独自 KABA/20/1 2003
023212002006054

書誌詳細

一般注記 Bibliography: p. [259]-263
Includes index
著者標目 *Kabanov, Yuri
Pergamenshchikov, Sergei
書誌ID 1001405412
ISBN 3540653325
NCID BA59717575
巻冊次 ISBN:3540653325
登録日 2009.11.02
更新日 2009.11.02