利用弱結(jié)構擾動理論確定非線性電路唯一穩(wěn)態(tài)
The study of the unique steady state of nonlinear circuits by weakly structured perturbation theory
-
摘要: 該文利用弱結(jié)構擾動理論得到了確定電路的唯一穩(wěn)態(tài)的新條件，擴展了已有的結(jié)果。該文對電路元件的約束，僅要求其成份關系的斜率有界即可，放松了已有的經(jīng)典結(jié)果中要求電路元件斜率為正的限制。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.
-
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]楊開字,矩陣分析,哈爾濱,哈爾濱工業(yè)大學出版社,1988年,45-47. -
計量
- 文章訪問數(shù): 2104
- HTML全文瀏覽量: 105
- PDF下載量: 663
- 被引次數(shù): 0
下載:
