Algorithms for compiling a mathematical model of physical systems using graphs

被引：0

作者：

Karpov, A. G. ^{[1
]}

Egorov, N., V ^{[1
]}

机构：

[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

来源：

VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA | 2024年 / 20卷 / 01期

关键词：

graph; graph connectivity; fundamental cycle;

D O I：

10.21638/11701/spbu10.2024.102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A system of algorithms for compiling a mathematical model of physical systems, the structure of which is given using graphs of great complexity, is proposed. The proposed algorithms can be used not only to develop new systems, but also to diagnose operating equipment and troubleshooting. The resulting mathematical model of the system, presented in the form of a system of equations, allows us to obtain a unique solution. The operation of the algorithms is illustrated using the example of a mechanical system, but the results of the work can be extended to systems of a different nature using electromechanical or electroeconomic analogies.

引用

页码：10 / 19

页数：10

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