翻訳と辞書 Words near each other ・ Sum of radicals ・ Sum of squares ・ Sum of the Parts ・ Sum of two squares theorem ・ Sum Practysis of Medecyne and other Short Works ・ Sum rule ・ Sum rule in differentiation ・ Sum rule in integration ・ Sum rule in quantum mechanics ・ Sum to Infinity ・ Sum to Infinity (book) ・ Sum Ying Fung ・ Sum-free sequence ・ Sum-free set ・ Sum-frequency generation ・ Sum-of-squares optimization ・ Sum-of-the-parts analysis ・ Sum-product number ・ Sum/One ・ Suma ・ Suma (co-operative) ・ Suma (moth) ・ Suma Bhattacharya ・ Suma Chakrabarti ・ Suma Gestión Tributaria ・ Suma Josson ・ Suma Kanakala ・ Suma Kumanovo ・ Suma Municipality ・ Suma Park Dam 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 Sum-of-squares optimization ： ウィキペディア英語版 Sum-of-squares optimization :''This article deals with sum-of-squares constraints. For problems with sum-of-squares cost functions, see Least squares.'' A sum-of-squares optimization program is an optimization problem with a linear cost function and a particular type of constraint on the decision variables. These constraints are of the form that when the decision variables are used as coefficients in certain polynomials, those polynomials should have the polynomial SOS property. Sum-of-squares optimization techniques have been successfully applied by researchers in the control engineering field.〔Tan, W., Packard, A., 2004. "(Searching for control Lyapunov functions using sums of squares programming )". In: ''Allerton Conf. on Comm., Control and Computing''. pp. 210–219.〕〔Tan, W., Topcu, U., Seiler, P., Balas, G., Packard, A., 2008. Simulation-aided reachability and local gain analysis for nonlinear dynamical systems. In: Proc. of the IEEE Conference on Decision and Control. pp. 4097–4102.〕〔A. Chakraborty, P. Seiler, and G. Balas, “Susceptibility of F/A-18 Flight Controllers to the Falling-Leaf Mode: Nonlinear Analysis,” AIAA Journal of Guidance, Control, and Dynamics, Vol.34 No.1, 2011, 73–85.〕 ==Optimization problem== The problem can be expressed as :$\backslash min\_\; c^T\; u$ subject to :$a\_(x)\; +\; a\_(x)u\_1\; +\; \backslash cdots\; +\; a\_(x)u\_n\; \backslash in\; \backslash text$ \quad (k=1,\ldots, N_s). Here "SOS" represents the class of SOS polynomials. The vector $c\backslash in\; \backslash R^n$ and polynomials $\backslash$ are given as part of the data for the optimization problem. The quantities $u\backslash in\; \backslash R^n$ are the decision variables. SOS programs can be converted to semidefinite programs (SDPs) using the connection between SOS polynomials and positive-semidefinite matrices. 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「Sum-of-squares optimization」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.