翻訳と辞書 Words near each other ・ Liège–Bastogne–Liège ・ Liège–Maastricht railway ・ Lièpvre ・ Lières ・ Lièvremont ・ Lié Louis Périn-Salbreux ・ Liébana ・ Liébana (Vino de la Tierra) ・ Liédena ・ Liédson ・ Liégeois ・ Liégeois (cocktail) ・ Liéhon ・ Liénard ・ Liénard equation ・ Liénard–Chipart criterion ・ Liénard–Wiechert potential ・ Liéramont ・ Liérganes ・ Liétor ・ Liévano–Brutus treaty ・ Liévans ・ Liévin ・ Liévin Congress ・ Liévin De Winne ・ Liévin Lerno ・ Liézey ・ Liêm Hoang Ngoc ・ Liêm Thủy ・ Liên Chiểu District Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Liénard–Chipart criterion ： ウィキペディア英語版 Liénard–Chipart criterion In control system theory, the Liénard–Chipart criterion is a stability criterion modified from Routh–Hurwitz stability criterion, proposed by A. Liénard and M. H. Chipart. This criterion has a computational advantage over Routh–Hurwitz criterion because they involve only about half the number of determinant computations. == Algorithm == Recalling the Routh–Hurwitz stability criterion, it says that a necessary and sufficient condition for all the roots of the polynomial with real coefficients ::$f(z)\; =\; a\_0\; z^n\; +\; a\_1\; z^\; +\; \backslash cdots\; +\; a\_n\; \backslash ,\; (a\_0\; >\; 0)$ to have negative real parts (i.e. $f$ is Hurwitz stable) is that ::$\backslash Delta\_1\; >\; 0,\backslash ,\; \backslash Delta\_2\; >\; 0,\; \backslash ldots,\; \backslash Delta\_n\; >\; 0,$ where $\backslash Delta\_i$ is the ''i''-th principal minor of the Hurwitz matrix associated with $f$. Using the same notation as above, the Liénard–Chipart criterion is that $f$ is Hurwitz-stable if and only if any one of the four conditions is satisfied: # $a\_n>0,a\_>0,\; \backslash ldots;\backslash ,\; \backslash Delta\_>0,\backslash Delta\_3>0,\backslash ldots$ # $a\_n>0,a\_>0,\; \backslash ldots;\backslash ,\; \backslash Delta\_>0,\backslash Delta\_4>0,\backslash ldots$ # $a\_n>0,a\_>0,a\_\; >0,\; \backslash ldots;\backslash ,\; \backslash Delta\_1>0,\backslash Delta\_3>0,\backslash ldots$ # $a\_n>0,a\_>0,a\_\; >0,\; \backslash ldots;\backslash ,\; \backslash Delta\_2>0,\backslash Delta\_4>0,\backslash ldots$ Henceforth, one can see that by choosing one of these conditions, the determinants required to be evaluated are thus reduced. 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「Liénard–Chipart criterion」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.