• DocumentCode
    728619
  • Title

    Robust stability of a class of interconnected nonlinear positive systems

  • Author

    Colombino, Marcello ; Hempel, Andreas B. ; Smith, Roy S.

  • Author_Institution
    Autom. Control Lab., Swiss Fed. Inst. of Technol., Zürich, Switzerland
  • fYear
    2015
  • fDate
    1-3 July 2015
  • Firstpage
    5312
  • Lastpage
    5317
  • Abstract
    We present conditions for robust stability of a class of linear systems interconnected by uncertain nonlinear, norm-bounded functions. We show that such conditions can be reformulated as classical small gain like conditions for a related linear system. Under further assumptions that render the related linear system positive, we show that we can achieve sharp tractable conditions for robust stability of the original nonlinear system.
  • Keywords
    interconnected systems; linear systems; nonlinear control systems; nonlinear functions; robust control; uncertain systems; classical small gain; interconnected nonlinear positive systems; linear systems; robust stability; uncertain nonlinear norm-bounded functions; Linear systems; Lyapunov methods; Manganese; Nonlinear systems; Robust stability; Robustness; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2015
  • Conference_Location
    Chicago, IL
  • Print_ISBN
    978-1-4799-8685-9
  • Type

    conf

  • DOI
    10.1109/ACC.2015.7172169
  • Filename
    7172169