書誌事項
- タイトル別名
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- A Computer Method of the Formal Linearization for Nonlinear Systems by the Discrete Fourier Expansion and Its Applications
- リサン フーリエ テンカイ ニ ヨル ヒセンケイ システム ノ ケイシキテキ
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説明
In this paper we propose a numerical computer method of the formal linearization for nonlinear systems by using the discrete Fourier expansion. A nonlinear system is described by a system of nonlinear ordinary differential equations. A linearizing function is given by a sequence of the trigonometric functions. The nonlinear terms of the differential equations are expanded into finite sums of the trigonometric functions by the method of the discrete Fourier expansion. As a result, a formal linear system is derived from the given nonlinear system.<br>A computer algorithm of the linearization is acquired and numerical computation is easily carried out with the aid of computers. Besides, as the application of the linearization, both a nonlinear observer and a nonlinear filter are also synthesized in the paper. Examples show that the accuracy of the method is improved as the order of the trigonometric functions increases.
収録刊行物
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- 電気学会論文誌C(電子・情報・システム部門誌)
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電気学会論文誌C(電子・情報・システム部門誌) 114 (7-8), 789-795, 1994
一般社団法人 電気学会
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詳細情報 詳細情報について
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- CRID
- 1390001204607423616
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- NII論文ID
- 130006843390
- 40002525053
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- NII書誌ID
- AN10065950
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- ISSN
- 13488155
- 03854221
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- NDL書誌ID
- 3886803
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- データソース種別
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- JaLC
- NDL
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- 抄録ライセンスフラグ
- 使用不可