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含有非线性电阻的动态电路唯一稳态的范数判定方法

Norm Theorems for Unique Steady State of Dynamic Circuits with Nonlinear Resistors

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【作者】 孙艳霞冯平刘宗

【Author】 SUN Yan-xia, FENG Ping, LIU Zong(l.Dept. of Electrical Information Engineering, Dalian Railway Institute, Dalian 116028, China; 2. Dept. of Automation, Logistical Engineering University, Chongqing 400016, China)

【机构】 大连铁道学院电气信息分院解放军后勤工程学院自动化系大连铁道学院电气信息分院 辽宁 大连 116028重庆 400016辽宁 大连 116028

【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.

【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.

【关键词】 非线性电路唯一稳态矩阵范数
【Key words】 nonlinear circuitsteady stateMatrix norms
  • 【文献出处】 大连铁道学院学报 ,Journal of Dalian Railway Institute , 编辑部邮箱 ,2003年04期
  • 【分类号】TM133
  • 【下载频次】72
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