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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 Behavioral modeling ： ウィキペディア英語版 Behavioral modeling The behavioral approach to systems theory and control theory was initiated in the late 70's by J. C. Willems as a result of resolving inconsistencies present in classical approaches based on state-space, transfer function, and convolution representations. This approach is also motivated by the aim of obtaining a general framework for system analysis and control that respects the underlying physics. The main object in the behavioral setting is the behavior --- the set of all signals compatible with the system. An important feature of the behavioral approach is that it does not distinguish a priority between input and output variables. Apart from putting system theory and control on a rigorous basis, the behavioral approach unified the existing approaches and brought new results on controllability for nD systems, control via interconnection 〔 J.C. Willems On interconnections, control, and feedback IEEE Transactions on Automatic Control Volume 42, pages 326-339, 1997 Available online http://homes.esat.kuleuven.be/~jwillems/Articles/JournalArticles/1997.4.pdf 〕 , and system identification .〔 I. Markovsky, J. C. Willems, B. De Moor, and S. Van Huffel. Exact and approximate modeling of linear systems: A behavioral approach. Monograph 13 in “Mathematical Modeling and Computation”, SIAM, 2006. Available online http://homepages.vub.ac.be/~imarkovs/siam-book.pdf 〕 == Dynamical system as a set of signals == In the behavioral setting, a dynamical system is a triple :$\backslash Sigma=(\backslash mathbb,\backslash mathbb,\backslash mathcal)$ where * $\backslash mathbb\backslash subseteq\backslash mathbb$ is the "time set" --- the time instances over which the system evolves, * $\backslash mathbb$ is the "signal space" --- the set in which the variables whose time evolution is modeled take on their values, and * $\backslash mathcal\backslash subseteq\; \backslash mathbb^\backslash mathbb$ the "behavior" --- the set of signals that are compatible with the laws of the system :($\backslash mathbb^\backslash mathbb$ denotes the set of all signals, i.e., functions from $\backslash mathbb$ into $\backslash mathbb$). $w\backslash in\backslash mathcal$ means that $w$ is a trajectory of the system, while $w\backslash notin\backslash mathcal$ means that the laws of the system forbid the trajectory $w$ to happen. Before the phenomenon is modeled, every signal in $\backslash mathbb^\backslash mathbb$ is deemed possible, while after modeling, only the outcomes in $\backslash mathcal$ remain as possibilities. Special cases: * $\backslash mathbb=\backslash mathbb$ --- continuous-time systems * $\backslash mathbb=\backslash mathbb$ --- discrete-time systems * $\backslash mathbb\; =\; \backslash mathbb^q$ --- most physical systems * $\backslash mathbb$ a finite set --- discrete event systems 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「Behavioral modeling」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.