The study of the unique steady state of nonlinear circuits by weakly structured perturbation theory

Yang Zhiyi; Feng Ping

Volume 25 Issue 6

Jun. 2003

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Yang Zhiyi, Feng Ping. The study of the unique steady state of nonlinear circuits by weakly structured perturbation theory[J]. Journal of Electronics & Information Technology, 2003, 25(6): 861-864.

Citation:

Yang Zhiyi, Feng Ping. The study of the unique steady state of nonlinear circuits by weakly structured perturbation theory[J]. Journal of Electronics & Information Technology, 2003, 25(6): 861-864.

Yang Zhiyi, Feng Ping. The study of the unique steady state of nonlinear circuits by weakly structured perturbation theory[J]. Journal of Electronics & Information Technology, 2003, 25(6): 861-864.

Citation:

Yang Zhiyi, Feng Ping. The study of the unique steady state of nonlinear circuits by weakly structured perturbation theory[J]. Journal of Electronics & Information Technology, 2003, 25(6): 861-864.

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The study of the unique steady state of nonlinear circuits by weakly structured perturbation theory

Yang Zhiyi^①;冯平,
Feng Ping

Received Date: 2002-01-10
Rev Recd Date: 2002-08-26
Publish Date: 2003-06-19

Abstract

Abstract

The unique steady state of nonlinear circuits is studied by weakly structured per-turbation theory. By means of this method, a new criterion of the unique steady state of the nonlinear circuits is obtained. The restriction to the elements of circuits is just the slope of the constitutive relation is bounded, which is much looser than the classic results published previously. The new criterion in this paper has much wider applicable range than the results already known.

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References(1)

References

L.O. Chua, Nonlinear circuit theory, [J] in Proc. 1978 European Conf. on Circuit Theory and Design, vol.2, Guest Lectures, New York, Sept. 4-8, 1978, 65-172.[2]M. Hasler, P. Verburgh, Uniqueness of the steady state for small source amplitudes in nonlinear nonautonomous circuits [J] Int. Journal of Circuit Theory and Application, 1985, 13(5), 3-17.[3]M. Hasler, P. Verburgh, On the uniqueness of the steady state for nonlinear circuits with timedependent sources, IEEE Trans. on CAS, 1984, CAS-31(11), 702-713.[4]N. Balabanian, T. A. Bickart, Electrical Network Theory, [M] New York, John Wiley Sons,Inc. 1969, 50-51.[5]杨开字,矩阵分析,哈尔滨,哈尔滨工业大学出版社,1988年,45-47.

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