非线性电阻电路解的存在性与唯一性的研究

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摘要介绍了近年来国内外有关非线性电阻电路研究状况的７个定理，特别是对于非线性电阻电路解的存在性与唯一性方面的研究成果和研究方法进行了较详细的比较。

作者高洪霞雷海亮

机构地区山东工业大学电力学院

出处《山东建材学院学报》 1998年第4期327-329,共3页 Journal of Shandong Institute of Building Materials

关键词非线性电路非线性电阻电路非线性电路解

参考文献10

1Duffin R J. Nonlinear networks.IIa, Bull Amer Math Soc, 1947,53:963-971.
2Sanderg I W, Willson A N Jr. Some theorems on properties of solutions of nonlinear networks, Bell Syst Tech J, 1969,48:1-34.
3Fujisawa T, Kuh E S. Some results on existence and uniqueness of solutions of nonlinear networks. IEEE Trans.1971,(5):501-506.
4Willson A N, Jr, Wu J T, Existence criteria for de solutions of nonlinear networks which involve the independent sources. IEEE Trans,1984,CAS-31:952-959.
5Zemanina A H. Docs a scries-parallel network of monotone resistors make sense? Yes or No?. IEEE Trans, 1997, CAS-44, (1) :45-54.
6Nielsen R O,Willson A N Jr. A fundamental result conocrning the topology of trsttsistor circuits with multiple equilibrium. Proc IEEE.1980,68:196-208.
7Nishi T, Chua L O. Topological criteria for nonlinear resistive circuits containing controlled sources to have a unique solution. IEEE.Trans,1984,CAS-31:722-741.
8Nishi T. Uniqueness of solution for nonlinear resistive circuits containing CCCS'a or VCVS's whose controlling coefficients are finite.IEEE Trans. 1996. CAS-33 (4):381-397.
9Hasler M. Nonlinesr non-reciprocal resistive circuits with a structually uniquesolution. Int J Circuits Theory Appl, 1986,(13):237-262.
10Nishi T. Kawane. On the numbcr of solutions of nonlinear resistive circuits IEICE Trans, 1991. E74(3):479-487.

山东建材学院学报

1998年第4期

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