• DocumentCode
    844024
  • Title

    Controllability, observability, and duality in singular systems

  • Author

    Cobb, Daniel

  • Author_Institution
    University of Wisconsin, Madison, WI, USA
  • Volume
    29
  • Issue
    12
  • fYear
    1984
  • fDate
    12/1/1984 12:00:00 AM
  • Firstpage
    1076
  • Lastpage
    1082
  • Abstract
    The concepts of controllability and observability for systems of the form E\\dot{x} = Ax + Bu, y = Cx, E singular are considered. A theory is presented which unifies the three main approaches to this topic already existing in the literature. The development includes a generalization of the duality theorem from state-space theory.
  • Keywords
    Controllability, linear systems; Duality; Observability, linear systems; Singular systems; Controllability; Councils; Differential equations; Frequency domain analysis; H infinity control; Laplace equations; Linear systems; Observability; Terminology; Time domain analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103451
  • Filename
    1103451