Topological criteria for nonlinear resistive circuits containing controlled sources to have a unique solution
Topological criteria for nonlinear resistive circuits containing controlled sources to have a unique solution
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包含受控源的非线性电阻电路的拓扑标准具有唯一的解决方案
DOI：
10.1109/tcs.1984.1085569
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发表时间：
1984
期刊：
影响因子：
--
通讯作者：
L. Chua
中科院分区：
文献类型：
--
作者：
T. Nishi;L. Chua
本文给出了以下基本问题的确定性解决方案：包含非线性单调电阻（以严格递增函数为特征），直流源（电压和电流源）和线性控制源（所有4种类型）的网络何时具有唯一解？我们的唯一性标准是用严格的拓扑术语表述的。特别地，一大类实际的非线性电路的唯一性通常可以通过检查来确定，通过检查是否存在一种叫做仙人掌图的新的基本拓扑结构。
This paper gives a definitive solution to the following fundamental problem: When does a network containing nonlinear monotone resistors (characterized by strictly increasing onto function), dc sources (voltage and current sources), and linear controlled sources (all 4 types) possess a unique solution? Our uniqueness criteria is couched in strictly topological terms. In particular, the uniqueness of a large class of practical nonlinear circuits can be determined, often by inspection, by checking for the presence of a new and fundamental topological structure called a cactus graph.