• DocumentCode
    1422778
  • Title

    Unified theory on topological analysis of linear systems

  • Author

    Chen, W.K.

  • Author_Institution
    Ohio University, Department of Electrical Engineering, Athens, USA
  • Volume
    114
  • Issue
    11
  • fYear
    1967
  • fDate
    11/1/1967 12:00:00 AM
  • Firstpage
    1630
  • Lastpage
    1636
  • Abstract
    Topological formulas were stated by Kirchhoff for mesh equations, by Maxwell for nodal equations, by Mason for signal-flow graphs and by Coates for flow graphs. In the paper, it is shown that all these formulas can be obtained from one another. Using these relationships, a generalised star-mesh transformation in network theory is obtained. Simple ways of drawing these associated directed graphs from a given network and illustrative examples are also given.
  • Keywords
    analysis and synthesis methods; circuit theory;
  • fLanguage
    English
  • Journal_Title
    Electrical Engineers, Proceedings of the Institution of
  • Publisher
    iet
  • ISSN
    0020-3270
  • Type

    jour

  • DOI
    10.1049/piee.1967.0312
  • Filename
    5249459