• DocumentCode
    433753
  • Title

    Controlling from the center manifold codimension one bifurcations

  • Author

    Verduzco, Fernando

  • Author_Institution
    Dept. of Math., Sonora Univ., Mexico
  • Volume
    1
  • fYear
    2004
  • fDate
    20-23 July 2004
  • Firstpage
    153
  • Abstract
    In this paper we establish conditions to control the transcritical and pitchfork bifurcations of nonlinear systems with one uncontrollable mode. We use the center manifold to reduce the system dynamics to dimension one, and find expressions in terms of the original vector fields.
  • Keywords
    bifurcation; control system synthesis; linear systems; nonlinear control systems; time-varying systems; center manifold codimension; nonlinear system; original vector field; pitchfork bifurcation; transcritical bifurcation; uncontrollable mode; Bifurcation; Control systems; Equations; Linear approximation; Mathematics; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference, 2004. 5th Asian
  • Conference_Location
    Melbourne, Victoria, Australia
  • Print_ISBN
    0-7803-8873-9
  • Type

    conf

  • Filename
    1425951
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=433753