広帯域ゲイン変動を伴う閉ループのqm安定条件

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2013/07/01

タイトル(英語): A Note on qm-Stability of a Closed-Loop with Purely Random Gain

著者名: 関根　栄子（茨城大学工学部），山中　一雄（茨城大学工学部）

著者名(英語): Eiko Sekine (Faculty of Engineering, Ibaraki University), Kazuo Yamanaka (Faculty of Engineering, Ibaraki University)

キーワード: 閉ループ，不規則ゲイン，確率システム，白色雑音，qm安定　　closed-loop，random gain，stochastic systems，white noise，qm-stability

要約(英語): Stochastic stability is discussed for a closed-loop system composed of a loop transfer function with steep high-cut characteristic and purely random multiplicative gain with unit spectral density. Due to the high-cut characteristic, the Ito integral can be applied in modeling the purely random gain fluctuation for the purpose of stability analysis. The closed-loop is shown to be asymptotically stable in the quadratic mean if and only if the deterministic part of the open-loop transfer function has 2-norm less than unity. This is also a sufficient condition for almost sure asymptotic stability. A simple example illustrates the equivalence between the present result and the former results obtained in different form.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.133 No.7 （2013） 特集：平成24 年電気学会電子・情報・システム部門大会

本誌掲載ページ: 1350-1355 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/133/7/133_1350/_article/-char/ja/