• DocumentCode
    1432708
  • Title

    Sequential least-squares estimation and the electrical-network problem

  • Author

    Nicholson, H.

  • Author_Institution
    University of Sheffield, Department of Control Engineering, Sheffield, UK
  • Volume
    118
  • Issue
    11
  • fYear
    1971
  • fDate
    11/1/1971 12:00:00 AM
  • Firstpage
    1635
  • Lastpage
    1641
  • Abstract
    Fundamental relationships existing between the electrical-network problem and least-squares estimation theory are illustrated, and the theorems of least power associated with the equilibrium conditions of physical systems are shown to correspond to the mathematical concepts of least-squares theory. The solution of the electrical-network problem based on Kron´s method of tearing and interconnection is considered, and is shown to incorporate an iterative technique which also forms the basis for sequential least-squares data fitting.
  • Keywords
    estimation theory; least squares approximations; network analysis; electrical network problem; fundamental relationships; iterative technique; mathematical concepts of least squares theory; sequential least squares estimation; theorems of least power associated with the equilibrium conditions of physical systems;
  • fLanguage
    English
  • Journal_Title
    Electrical Engineers, Proceedings of the Institution of
  • Publisher
    iet
  • ISSN
    0020-3270
  • Type

    jour

  • DOI
    10.1049/piee.1971.0301
  • Filename
    5251524