• DocumentCode
    404286
  • Title

    Converse theorems of the principal Lyapunov results for partial stability of general dynamical systems on metric spaces

  • Author

    Molchanov, A.P. ; Michel, A.N. ; Sun, Y.

  • Author_Institution
    Inst. of Control Sci., Acad. of Sci., Moscow, Russia
  • Volume
    5
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    5085
  • Abstract
    We present converse theorems for the principal Lyapunov results concerning partial stability properties of general dynamical systems defined on metric spaces. We consider the general case of partial stability (y-stability) with respect to disturbances in all of the initial state variables x0=(y0, z0) as well as the case of y-stability under arbitrary z-perturbations.
  • Keywords
    Banach spaces; Lyapunov methods; asymptotic stability; nonlinear differential equations; nonlinear dynamical systems; arbitrary z-perturbations; converse theorems; dynamical systems; metric spaces; partial stability; principal Lyapunov theorem; state variables; y-stability; Control systems; Extraterrestrial measurements; Lyapunov method; Stability; Sun;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272442
  • Filename
    1272442
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404286