Analysis and Computation of Multi-input Multi-output Multi-loop Feedback Networks

Tong Mao-da

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Analysis and Computation of Multi-input Multi-output Multi-loop Feedback Networks

更新时间：2025-12-08

- Analysis and Computation of Multi-input Multi-output Multi-loop Feedback Networks
- Acta Electronica Sinica Issue 1, Pages: 80-86(1988)
- 作者机构：
  
  中国科学技术大学
- 作者简介：
- 基金信息：
- DOI：
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- Published：1988
- 稿件说明：
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[1]仝茂达.多输入、多输出、多回环反馈网络的分析和计算[J].电子学报,1988(01):80-86.

Tong Mao-da. Analysis and Computation of Multi-input Multi-output Multi-loop Feedback Networks[J]. Acta Electronica Sinica, 1988, (1): 80-86.
[1]仝茂达.多输入、多输出、多回环反馈网络的分析和计算[J].电子学报,1988(01):80-86. DOI：

Tong Mao-da. Analysis and Computation of Multi-input Multi-output Multi-loop Feedback Networks[J]. Acta Electronica Sinica, 1988, (1): 80-86. DOI：

摘要

本文根据矩阵信号流图分析多输入、多输出、多回环反馈网络所得到的有用结果

推导出用等余因子矩阵的一阶、二阶余因子及其导数和三阶余因子

简浩地、系统地描述各类回归率矩阵的公式

解决了直接传输矩阵为对角阵时的反馈矩阵的计算问题。

Abstract

This paper derived a series of compact formulas depicting various return ratio matrices of a linear multi-input

multi-output and multi-loop feedback network in terms of the first- and the second-order cofactors and their partial derivatives as well as the third-order cofactors of the elements of the equicofactor matrix. The derivation was based on the useful results obtained by using the matrix signal-flow graph. Also

the computation problems of feedback matrices in the case of the direct transmission matrix being a diagonal matrix is solved.

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