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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 Krasovskii-LaSalle principle ： ウィキペディア英語版 LaSalle's invariance principle LaSalle's invariance principle (also known as the invariance principle, Barbashin-Krasovskii-LaSalle principle, or Krasovskii-LaSalle principle ) is a criterion for the asymptotic stability of an autonomous (possibly nonlinear) dynamical system. == Global version == Given a representation of the system : $\backslash dot(\backslash mathbf\; x)\; \backslash le\; 0$ for all $\backslash mathbf\; x$ (negative semidefinite) Let $$ be the union of complete trajectories contained entirely in the set $\backslash$. Then the set of accumulation points of any trajectory is contained in $$. If we additionally have that the function $V$ is positive definite, i.e. : $V(\; \backslash mathbf\; x)\; >\; 0$, for all $\backslash mathbf\; x\; \backslash neq\; \backslash mathbf\; 0$ : $V(\; \backslash mathbf\; 0)\; =\; 0$ and if $$ contains no trajectory of the system except the trivial trajectory $\backslash mathbf\; x(t)\; =\; \backslash mathbf\; 0$ for $t\; \backslash geq\; 0$, then the origin is asymptotically stable. Furthermore, if $V$ is radially unbounded, i.e. : $V(\backslash mathbf\; x)\; \backslash to\; \backslash infty$, as $\backslash Vert\; \backslash mathbf\; x\; \backslash Vert\; \backslash to\; \backslash infty$ then the origin is globally asymptotically stable. 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「LaSalle's invariance principle」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.