Presentation 2004-09-14
Algebraic Expression of Verification Region for Describing Function using Groebner base
Masakazu YAGI, Takashi HISAKADO, Kohshi OKUMURA,
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Abstract(in English) Describing function is known as the tool for the analysis of periodic phenomena of nonlinear systems. This method need the verification, because the high frequencies of the oscillations are ignored. We have been to find the verification region using numerical method. This paper presents verification region for describing function as algebraic manifold using Groebner base. Therefore, it is possible to find accurately the verification region of the periodic solution in multidimensional space. And we present efficient method for the verification.
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Keyword(in English) Groebner base / Describing Function / Verification / Algebraic Expression
Paper # CAS2004-38,NLP2004-50
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Committee NLP
Conference Date 2004/9/7(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Algebraic Expression of Verification Region for Describing Function using Groebner base
Sub Title (in English)
Keyword(1) Groebner base
Keyword(2) Describing Function
Keyword(3) Verification
Keyword(4) Algebraic Expression
1st Author's Name Masakazu YAGI
1st Author's Affiliation Department of Electrical Engineering, Kyoto University()
2nd Author's Name Takashi HISAKADO
2nd Author's Affiliation Department of Electrical Engineering, Kyoto University
3rd Author's Name Kohshi OKUMURA
3rd Author's Affiliation Department of Information and Intellectual Systems Engineering, Hiroshima Institute of Technology
Date 2004-09-14
Paper # CAS2004-38,NLP2004-50
Volume (vol) vol.104
Number (no) 295
Page pp.pp.-
#Pages 6
Date of Issue