非線性網(wǎng)絡(luò)Volterra級數(shù)表示的代數(shù)求解算法
AN ALGEBRAIC ALGORITHM FOR VOLTERRA SERIES EXPRESSION OF NONLINEAR NETWORK
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摘要: 本文基于非線性網(wǎng)絡(luò)Volterra級數(shù)表示的輔助代數(shù)方法,提出了非線性網(wǎng)絡(luò)n階Volterra核和n階非線性傳遞函數(shù)的代數(shù)編列算法。求取了非線性網(wǎng)絡(luò)的規(guī)范形、三角形、對稱形n階Volterra核及相應(yīng)的n階非線性傳遞函數(shù),同時也降低了非線性網(wǎng)絡(luò)Volterra級數(shù)表示編列算法的復(fù)雜性。
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關(guān)鍵詞:
- 非線性網(wǎng)絡(luò); Volterra級數(shù); 編列算法
Abstract: It is important to solve the nth order Volterra kernel or nonlinear transfen , function in describing nonlinear network by Volterra series. Based on the auxiliary algebraic expression of the Volterra series, in this paper, an algebraic algorithm is proposed to evaluate the nth order Volterra kernel and nonlinear function in regular, triangular and sym-metric forms. In addition, the complexity of the algebraic algorithm is reduced. -
L.O. Chua, C. Y. Ng, Electronic Circuits Syst, 3(1979), 255-267.[2]M.Fleiess, M. Lamnabhi, F. Lamnabhi-Lagrrigue, IEEE Trans. on CAS, CAS-30(1983), 554-570.[3]W. J. Rugh, Nonlinear System Theory, Johns Hopkins University Press, Baltimore, MA. 1981, pp. 12-190.[4]王柏勇,非線性網(wǎng)絡(luò)的輔助代數(shù)解析法,中國電機工程學(xué)會電路理論及應(yīng)用分委會首屆學(xué)術(shù)交流會論文集,武漢,1986年6月,PP. 25-31. -
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