Определение работоспособности системы, структура которой задана графом

Translated title of the contribution: Determining the ability to work of the system, the structure of which is given using graph

Research output: Contribution to journalArticlepeer-review

Abstract

A system of algorithms for the analysis of systems of different nature, the structure of which is given using graphs of great complexity, is proposed. The analysis consists in checking the connectivity and physical realizability of the system, the structure of which is given by the graph, as well as in checking the absence of non-working loops. The proposed algorithms can be used not only to develop new systems but also to diagnose operating equipment and troubleshooting. The approach to determining the physical realizability of a graph is that first a system of basis cycles is constructed. After that it is determined whether each branch is included in one of them. The operation of the system of algorithms is demonstrated by the example of an electrical system. However, the results obtained can be extended to systems of a different nature, for example, using electromechanical analogies.

Translated title of the contributionDetermining the ability to work of the system, the structure of which is given using graph
Original languageRussian
Pages (from-to)41-49
Number of pages9
Journal ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ
Volume16
Issue number1
DOIs
StatePublished - Mar 2020

Scopus subject areas

  • Computer Science(all)
  • Control and Optimization
  • Applied Mathematics

Keywords

  • Fundamental cycle
  • Graph
  • Graph connectivity

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