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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク class kappa function ： ウィキペディア英語版 class kappa function In control theory, it is often required to check if a nonautonomous system is stable or not. To cope with this it is necessary to use some special comparison functions. Class $\backslash mathcal$ functions belong to this family: Definition: a continuous function $\backslash alpha\; :\; [0,\; a)\; \backslash rightarrow\; [0,\; \backslash infty)$ is said to belong to class $\backslash mathcal$ if: * it is strictly increasing; * it is s.t. $\backslash alpha(0)\; =\; 0$. Definition: a continuous function $\backslash alpha\; :\; [0,\; a)\; \backslash rightarrow\; [0,\; \backslash infty)$ is said to belong to class $\backslash mathcal\_$ if: * it belongs to class $\backslash mathcal$; * it is s.t. $a\; =\; \backslash infty$; * it is s.t. $\backslash lim\_\; \backslash alpha(r)\; =\; \backslash infty$. ==See also== * H. K. Khalil, Nonlinear systems, Prentice-Hall 2001. Sec. 4.4 - Def. 4.2. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「class kappa function」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.