| 滞环多值电路唯一稳态的范数判据 |
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| 引用本文： | 许郁煌,冯平. 滞环多值电路唯一稳态的范数判据[J]. 电气开关, 2005, 43(5): 36-39 |
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| 作者姓名： | 许郁煌 冯平 |
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| 作者单位： | 福建水利电力职业技术学院,福建,永安,366000;解放军后勤工程学院军用电力保障教研室,重庆,400016 |
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| 摘 要： | 以矩阵范数为工具,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.本文的结果表明,该类电路的唯一稳态,可以用矩阵的范数来决定.本文的结果对电路元件的约束,仅要求其斜率有界即可.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 矩阵范数 滞环 |
| 文章编号： | 1004-289X(2005)05-0036-04 |
| 收稿时间： | 2005-08-23 |
| 修稿时间： | 2005-08-23 |
Norm Theorems for the Unique Steady State of the Nonlinear Nonautonomous Circuits with Hysteresis Loop Elements |
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| XU Yu-huang,FENG-Ping. Norm Theorems for the Unique Steady State of the Nonlinear Nonautonomous Circuits with Hysteresis Loop Elements[J]. Electric Switchgear, 2005, 43(5): 36-39 |
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| Authors: | XU Yu-huang FENG-Ping |
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| Affiliation: | The Military Electrical Power Research Section Logistical Engineering University,Chongqing 400016 ,China |
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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 norms.The main results obtained in this paper show that the unique steady state of the nonlinear nonautonomous circuits can be determined by the norms of some matrixes.The restriction to the elements of circuits is just the slope of the constitutive relation is bounded,which is much looser than the demands put forward by previously published papers.The new criterions in this paper have much wider applicable range than the results already known. |
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| Keywords: | nonlinear circuit steady state matrix norms hysteresis |
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