石油化工高等学校学报2001,Vol.14Issue(1):68-71,4.
具有滞环的非线性非自治电路唯一稳态研究
On the Unique Steady State of the Circuits With Hysteresis Loop Elements
摘要
Abstract
The results already known show that if the constitutive relations of t he elements included in the circuits are strictly increasing and one to one mapp ing (single value), then the circuits will have unique steady state under certai n conditions. However the multivalue elements, for example, the elements with h ysteresis loops, no results have been gained to decide the unique steady state of such circuits. A new method, v ector comparison method, is introduced to determine the uniqueness of the stea dy state of the nonlinear non-autonomous circuits with hysteresis elements. The results obtained in this paper show that the unique steady state of those kinds of nonlinear circuits can be verified by the Hurwitz conditions of some constan t matrixes. And those gained results are valid for the circuits with any degrees . The results of numerical calculation given in this paper shows that the theore tical conclusions are correct.关键词
非线性电路/唯一稳态/多值系统分类
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冯平..具有滞环的非线性非自治电路唯一稳态研究[J].石油化工高等学校学报,2001,14(1):68-71,4.