非线性网络Volterra级数表示的代数求解算法
AN ALGEBRAIC ALGORITHM FOR VOLTERRA SERIES EXPRESSION OF NONLINEAR NETWORK
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摘要: 本文基于非线性网络Volterra级数表示的辅助代数方法,提出了非线性网络n阶Volterra核和n阶非线性传递函数的代数编列算法。求取了非线性网络的规范形、三角形、对称形n阶Volterra核及相应的n阶非线性传递函数,同时也降低了非线性网络Volterra级数表示编列算法的复杂性。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.
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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,非线性网络的辅助代数解析法,中国电机工程学会电路理论及应用分委会首届学术交流会论文集,武汉,1986年6月,PP. 25-31. -
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