• DocumentCode
    852803
  • Title

    On the topology of spaces of controllable and observable systems

  • Author

    Cobb, J.Daniel

  • Author_Institution
    University of Wisconsin-Madison, Madison, WI, USA
  • Volume
    31
  • Issue
    6
  • fYear
    1986
  • fDate
    6/1/1986 12:00:00 AM
  • Firstpage
    557
  • Lastpage
    559
  • Abstract
    Topological properties of classes of state-space systems ( A, B, C) \\in R^{n(n+m+p)} are considered, using the natural Euclidean topology. In particular, the connected components of the spaces of controllable, observable, and controllable and observable systems are characterized. Similar results are then easily established for corresponding spaces of rational transfer matrices.
  • Keywords
    Controllability, linear systems; Observability, linear systems; Topology; Transfer function matrices; Control systems; Controllability; Convergence; Linear systems; Observability; Polynomials; Topology; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104320
  • Filename
    1104320
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=852803