具有不可约反馈环的有向图的矩阵分析

IRE Transactions on Circuit Theory Pub Date : 1955-06-01 DOI:10.1109/TCT.1955.1085228

J. Percus

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引用次数: 2

摘要

在n个终端以某种方式通过单边支路相互连接的情况下，确定可能的1个闭合电路的问题在许多不同的领域中都是相当重要的问题之一。它可以看作是线性网络的拓扑特征，在终端之间具有特定的支路增益;在这种情况下，系统可以用支路增益或传输因子矩阵a = (aij)来表示(见图1)，其中端子输入Ei与端子“电压”Vi的关系为

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Matrix analysis of oriented graphs with irreducible feedback loops

THE PROBLEM of determining the possible I closed circuits available in a situation in which n terminals are interconnected in some fashion by unilateral branches is one of considerable importance in a number of diverse fields. It may be regarded as that of a topological characterization of a linear network, with specific branch gains between terminals; in such a case, the system may be designated (see Fig. 1) by the branch gain or transmission factor matrix A = (aij), in terms of which the terminal inputs Ei and terminal “voltages” Vi are related by

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IRE Transactions on Circuit Theory

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