| 基于矩阵测度的滞环多值电路唯一稳态研究 |
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| 引用本文： | 粟时平 决平. 基于矩阵测度的滞环多值电路唯一稳态研究[J]. 电工标准与质量, 2002, 17(2): 40-42 |
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| 作者姓名： | 粟时平 决平 |
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| 作者单位： | [1]长沙电力学院电力工程系，湖南长沙410077 [2]解放军后勤工程学院电工教研室，重庆400016 |
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| 基金项目： | 湖南省自然科学基金项目 (0 1JJY3 0 2 3 ) |
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| 摘 要： | 以矩阵测度为工具，得到了确定具有滞环的非线性非自治电路唯一稳态的新条件。结果表明，该电路的唯一稳态，可以用一个矩阵的测度来决定，对电路元件的约束，仅要求其斜率有界限可。这大大放松了目前已有的经典结果中要求电路元件斜率为正的限制，扩展了已有的结果。
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| 关 键 词： | 非线性电路 唯一稳态 矩阵测度 向量比较原理 电路元件 斜率 滞环多值电路 |
Matrix and its Application to Determine the Unique Steady State of the Nonlinear Nonautonomous Circuits with Hysteresis Loop Elements |
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| SU Shi ping ,FENG Ping. Matrix and its Application to Determine the Unique Steady State of the Nonlinear Nonautonomous Circuits with Hysteresis Loop Elements[J]. Journal of Changsha University of Electric Power(Natural Science Edition), 2002, 17(2): 40-42 |
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| Authors: | SU Shi ping FENG Ping |
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| Affiliation: | SU Shi ping 1,FENG Ping 2 |
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| Abstract: | A new criterion to the unique steady state of the nonlinear nonautonomous circuits with hysteresis elements is obtained by matrix measure .The results show that the unique steady state of the nonlinear nonautonomous circuits can be determined by the measure of a matrix .The restriction to the elements of circuits is just the slope of the constitutive relation, which is much looser than the demands put forward by previously published papers. The new criterions have wider applicable range than the results already known. |
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| Keywords: | nonlinear circuit steady state matrix measure hysteresis |
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