| 利用GRONWALL定理确定高维非线性电路唯一稳态 |
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| 引用本文： | 吴开兴,冯平,赵洪海. 利用GRONWALL定理确定高维非线性电路唯一稳态[J]. 河北工程大学学报(自然科学版), 2002, 19(1): 46-48 |
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| 作者姓名： | 吴开兴 冯平 赵洪海 |
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| 作者单位： | 河北建筑科技学院电子系 河北邯郸056038(吴开兴)，解放军后勤工程学院电工教研室 重庆400016(冯平)，邯郸农电公司 河北邯郸056000(赵洪海) |
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| 摘 要： | 本文利用GRONWALL定理 ,确定了电路的唯一稳态新条件。本文的结果对电路元件的约束 ,仅要求其成份关系斜率有界即可。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 矩阵分析 GRONWALL定理 |
| 文章编号： | 1007-6743(2002)01-0046-03 |
| 修稿时间： | 2001-12-04 |
The study of the unioueness of the steady state of the high degrees nonlinear nonautonomous circuits by gronwall lemma |
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| WU Kai xing ,FENG Ping ,ZHAO Hong hai. The study of the unioueness of the steady state of the high degrees nonlinear nonautonomous circuits by gronwall lemma[J]. Journal of Hebei University of Engineering(Natural Science Edition), 2002, 19(1): 46-48 |
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| Authors: | WU Kai xing FENG Ping ZHAO Hong hai |
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| Affiliation: | WU Kai xing 1,FENG Ping 2,ZHAO Hong hai 3 |
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| Abstract: | The uniqueness of the steady state of the of the nonlinear nonautonomous circuits is studied by the Gronwall lemma. By means of this method, new criterion to the unique steady state of the nonlinear nonautonomous 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 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 analysis gronwall lemma |
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