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The existence and uniqueness of the state trajectories (limiting substrate and living biomass) are analyzed for a tubular biochemical reactor nonlinear model. It is reported that the trajectories exist on the whole (nonnegative real) time axis and the set of all physically feasible state values is invariant under the dynamics equations. This set takes into… (More)

The multiplicity of the equilibrium profiles is analyzed for axial dispersion nonisothermal tubular reactors described by Arrhenius type nonlinear models. It is reported that there is at least one steady state among the physically feasible states for such models. Moreover physically meaninful conditions which ensure the multiplicity of equilibrium profiles… (More)

- Mohamed E. Achhab, Mohamed Laabissi
- Systems & Control Letters
- 2002

- B. Aylaj, Mohamed E. Achhab, Mohamed Laabissi
- IMA J. Math. Control & Information
- 2007

- M.E. Achhab, B. Aylaj, M. Laabissi
- Proceedings of the 2005 IEEE International…
- 2005

The existence of equilibrium profiles for a class of nonlinear systems arising from convection-dispersion-reaction processes is investigated. It is reported that there is at least one steady state among the physically feasible states for such models. Our approach is based on nonlinear analysis tools such as dissipativity properties, a subtangential… (More)

The existence and uniqueness of the state trajectories (limiting substrate and living biomass) are analyzed for a tubular biochemical reactor nonlinear model. It is mainly reported that the trajectories exist on the whole (nonnegative real) time axis and the set of all physically feasible state values is invariant under the dynamics equations. This set… (More)

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