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Asymptotic Behavior and Stability for Solutions of a Biochemical Reactor Distributed Parameter Model

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3 Author(s)
A. K. DramÉ ; Center for Syst. Eng. & Appl. Mech. (CESAME), Univ. Catholique de Louvain, Louvain-la-Neuve ; D. Dochain ; J. J. Winkin

This paper deals with the dynamical analysis of a tubular biochemical reactor. The existence of nonnegative state trajectories and the invariance of the set of all physically feasible state values under the dynamical equation as well as the convergence of the state trajectories to equilibrium profiles are proved. In addition, the existence of multiple equilibrium profiles is analyzed. It is proved that, under physically meaningful conditions, the system has two stable and one unstable equilibrium profiles.

Published in:

IEEE Transactions on Automatic Control  (Volume:53 ,  Issue: 1 )