| 利用单位解矩阵估计判定含有非线性电阻的动态电路唯一稳态 |
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| 引用本文： | 许淑辉,冯平.利用单位解矩阵估计判定含有非线性电阻的动态电路唯一稳态[J].浙江工业大学学报,2004,32(5):594-597. |
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| 作者姓名： | 许淑辉 冯平 |
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| 作者单位： | 1. 华侨大学,电气工程系,福建,泉州,510000
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： | 军队科研基金(营160号)的资助 |
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| 摘 要： | 利用微分方程单位解矩阵估计的相关方法,得到了确定含有非线性电阻的动态电路唯一稳态的条件.结果表明,含有非线性电阻的动态电路的唯一稳态,可以用一个矩阵测度决定.由于目前已有的经典结果只能处理含有线性电阻的动态电路的唯一稳态,因此本文的工作大大扩展了已有的经典结果.
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| 关 键 词： | 非线性电路 唯一稳态 微分方程 单位解矩阵 |
| 文章编号： | 1006-4303(2004)05-0594-04 |
| 修稿时间： | 2004年2月15日 |
The determination of the unique steady state of the nonlinear nonautonomous circuits with nonlinear resistors by the estimation of the fundamental solutions matrixes |
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| XU Shu-hui,FENG Ping.The determination of the unique steady state of the nonlinear nonautonomous circuits with nonlinear resistors by the estimation of the fundamental solutions matrixes[J].Journal of Zhejiang University of Technology,2004,32(5):594-597. |
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| Authors: | XU Shu-hui FENG Ping |
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| Abstract: | Based on the estimation of the fundamental solutions matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure. The main results obtained in this paper show that the unique steady state of the dynamic circuits with nonlinear resistors can be determined by the matrix measure of some matrixes, which can be easily constructed. This is a great extension of the results already known, where only the dynamic circuits with linear resistors are dealt with. |
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| Keywords: | nonlinear circuit steady state differential equations fundamental solution matrix |
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