• DocumentCode
    2466500
  • Title

    State Trajectories and Stability of Equilibria of a Distributed Parameter Biochemical Reactor

  • Author

    Dramé, A.K. ; Dochain, D. ; Winkin, J.J.

  • Author_Institution
    CESAME, Univ. Catholique de Louvain, Louvain-La-Neuve
  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    87
  • Lastpage
    92
  • Abstract
    The dynamical analysis of a biochemical reactor distributed parameter nonlinear model is performed. The existence of nonnegative state trajectories and invariance of the set of all physically feasible state values under the dynamical equation, as well as the convergence of state trajectories to equilibrium profiles, are reported. In addition, it is reported that under physically meaningful conditions the system has two stable and one unstable equilibrium profiles
  • Keywords
    bioreactors; distributed parameter systems; nonlinear control systems; stability; biochemical reactor distributed parameter nonlinear model; dynamical equation; equilibrium profile; stability; state trajectory; Biochemical analysis; Biomass; Boundary conditions; Inductors; Kinetic theory; Nonlinear equations; Performance analysis; Silicon compounds; Stability; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2006 45th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    1-4244-0171-2
  • Type

    conf

  • DOI
    10.1109/CDC.2006.377514
  • Filename
    4177165