| 含有非线性电阻的动态电路唯一稳态的范数判定方法 |
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| 引用本文： | 孙艳霞,冯平,刘宗.含有非线性电阻的动态电路唯一稳态的范数判定方法[J].大连铁道学院学报,2003,24(4):51-54. |
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| 作者姓名： | 孙艳霞 冯平 刘宗 |
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| 作者单位： | [1]大连铁道学院电气信息分院，辽宁大连116028 [2]解放军后勤工程学院自动化系，重庆400016 |
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| 摘 要： | 以矩阵范数为工具，得到了确定含有非线性电阻的动态电路唯一稳态的条件，并给出了一个算例，其结果与理论分析吻合．本文的结果表明，含有非线性电阻的动态电路的唯一稳态．可以用矩阵范数决定．而且这个方法可以应用于任意阶的非线性电路．判据适用范围更广，结果便于应用，在理论与实用两个方面，都有重要意义．
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| 关 键 词： | 非线性电阻 唯一稳态 矩阵范数 非线性电路 数字模拟 非线性电容 |
Norm Theorems for Unique Steady State of Dynamic Circuits with Nonlinear Resistors |
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| SUN Yan-xia,FENG Ping,LIU Zong.Norm Theorems for Unique Steady State of Dynamic Circuits with Nonlinear Resistors[J].Journal of Dalian Railway Institute,2003,24(4):51-54. |
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| Authors: | SUN Yan-xia FENG Ping LIU Zong |
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| Abstract: | The unique steady state of the dynamic circuits withnonlinear resistors is studied by a matrix norm. A caculating example is given, and its result tallies with the theoretical analysis. The main results show that the unique steady state of the dynamic circuits with nonlinear resistors can be determined by the matrix norms of some matrixes. This method can be applied in arbitrarily rank of nonlinear electric circuits. It has a wide application and criterion, applicable result with the inportance in both theories and practice. |
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| Keywords: | nonlinear circuit steady state Matrix norms |
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