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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 State-transition matrix ： ウィキペディア英語版 State-transition matrix In control theory, the state-transition matrix is a matrix whose product with the state vector $x$ at an initial time $t\_0$ gives $x$ at a later time $t$. The state-transition matrix can be used to obtain the general solution of linear dynamical systems. ==Linear systems solutions== The state-transition matrix is used to find the solution to a general state-space representation of a linear system in the following form : $\backslash dot(t)\; \backslash mathbf(t)\; +\; \backslash mathbf(t)\; \backslash mathbf(t)\; ,\; \backslash mathbf(t\_0)\; =\; \backslash mathbf\_0$, where $\backslash mathbf(t)$ are the states of the system, $\backslash mathbf(t)$ is the input signal, and $\backslash mathbf\_0$ is the initial condition at $t\_0$. Using the state-transition matrix $\backslash mathbf(t,\; \backslash tau)$, the solution is given by: : $\backslash mathbf(t)=\; \backslash mathbf\; (t,\; t\_0)\backslash mathbf(t\_0)+\backslash int\_^t\; \backslash mathbf(t,\; \backslash tau)\backslash mathbf(\backslash tau)\backslash mathbf(\backslash tau)d\backslash tau$ 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「State-transition matrix」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.