| 利用弱结构扰动理论确定非线性电路唯一稳态 |
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| 引用本文： | 冯平,熊伟丽,李超璟,刘中正. 利用弱结构扰动理论确定非线性电路唯一稳态[J]. 江南大学学报(自然科学版), 2002, 1(1): 50-52 |
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| 作者姓名： | 冯平 熊伟丽 李超璟 刘中正 |
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| 作者单位： | 1. 解放军后勤工程学院,自动化系,重庆,400016
2. 江南大学,通信与控制工程学院,江苏,无锡,214036 |
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| 基金项目： | 军队科研基金 (营 160号 ) |
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| 摘 要： | 利用弱结构扰动理论得出了确定电路唯一稳态的新条件 .其结果对电路元件的约束 ,仅要求其成份关系斜率有界即可 .这减少了目前已有的经典结果中要求电路元件斜率为正的限制 ,扩充了已有的结论 .
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| 关 键 词： | 非线性电路 唯一稳态 矩阵分析 弱结构扰动 |
| 文章编号： | 1008-8547(2002)01-0050-03 |
| 修稿时间： | 2001-12-18 |
The Study of the Uniqueness of the Steady State of the High Degree Nonlinear Nonautonomous Circuits by Weakly Structured Perturbation Theory |
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| FENG Ping ,XIONG Wei li ,LI Chao jing ,LIU Zhong zheng. The Study of the Uniqueness of the Steady State of the High Degree Nonlinear Nonautonomous Circuits by Weakly Structured Perturbation Theory[J]. Journal of Southern Yangtze University:Natural Science Edition, 2002, 1(1): 50-52 |
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| Authors: | FENG Ping XIONG Wei li LI Chao jing LIU Zhong zheng |
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| Affiliation: | FENG Ping 1,XIONG Wei li 2,LI Chao jing 2,LIU Zhong zheng 2 |
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| Abstract: | The uniqueness of the steady state of the nonlinear nonautonomous circuits is studied by weakly structured perturbation theory. By means of 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 weakly structured perturbation |
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