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
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377514
