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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 GPOPS-II ： ウィキペディア英語版 GPOPS-II GPOPS-II (pronounced "GPOPS 2") is a general-purpose MATLAB software for solving continuous optimal control problems using hp-adaptive Gaussian quadrature collocation and sparse nonlinear programming. The acronym GPOPS stands for "General Purpose OPtimal Control Software", and the Roman numeral "II" refers to the fact that GPOPS-II is the second software of its type (that employs Gaussian quadrature integration). == Problem Formulation == GPOPS-II is designed to solve multiple-phase optimal control problems of the following mathematical form (where $P$ is the number of phases): ::: $\backslash min\; J\; =\; \backslash phi(\backslash bold^,\backslash ldots,\backslash bold^)$ :subject to the dynamic constraints ::: $\backslash dot(t)=\backslash bold^(\backslash bold^(t),\backslash bold^(t),t,\backslash bold),\backslash quad\; (p=1,\backslash ldots,P),$ :the event constraints ::: $\backslash bold\_\backslash leq\backslash bold(\backslash bold^,\backslash ldots,\backslash bold^,\backslash bold)\backslash leq\backslash bold\_,$ :the inequality path constraints ::: $\backslash bold\_^\backslash leq\backslash bold(\backslash bold^(t),\backslash bold^(t),t,\backslash bold)\backslash leq\backslash bold\_^,\backslash quad\; (p=1,\backslash ldots,P),$ :the static parameter constraints ::: $\backslash bold\_\backslash leq\backslash bold\backslash leq\backslash bold\_,$ :and the integral constraints ::: $\backslash bold\_^\backslash leq\backslash bold^\backslash leq\backslash bold\_^,\backslash quad\; (p=1,\backslash ldots,P),$ :where ::: $\backslash bold^=\backslash left(),\backslash quad\; (p=1,\backslash ldots,P),$ :and the integrals in each phase are defined as ::: $q\_i^=\backslash int\_\}\; g\_i^(\backslash bold^(t),\backslash bold^(t),t,\backslash bold)dt,\backslash quad\; (i=1,\backslash ldots,n\_q^,\backslash ;\; p=1,\backslash ldots,P).$ It is important to note that the event constraints can contain any functions that relate information at the start and/or terminus of any phase (including relationships that include both static parameters and integrals) and that the phases themselves need not be sequential. It is noted that the approach to linking phases is based on well-known formulations in the literature. 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「GPOPS-II」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.