Résumé
The existence and uniqueness of the state trajectories (temperature and reactant concentration) are analyzed for nonisothermal plug flow and axial dispersion tubular reactor models. It is mainly shown that these trajectories exist on the whole (nonnegative real) time axis and the set of all physically feasible state values is invariant under the dynamics equations. The main nonlinearity in the model originates from the Arrhenius-type kinetics term in the model equations. The analysis essentially uses Lipschitz and dissipativity properties of the nonlinear operator involved in the dynamics and the concept of state trajectory positivity.
| langue originale | Anglais |
|---|---|
| Pages (de - à) | 169-184 |
| Nombre de pages | 16 |
| journal | Systems and Control Letters |
| Volume | 42 |
| Numéro de publication | 3 |
| Les DOIs | |
| Etat de la publication | Publié - 31 juil. 2001 |
Financement
This paper presents research results of the Belgian Programme on Inter-University Poles of Attraction initiated by the Belgian State, Prime Minister's office for Science, Technology and Culture. The scientific responsibility rests with its authors. The work of the first author has been partially carried out within the framework of a collaboration agreement between CESAME (Université Catholique de Louvain, Belgium) and LINMA of the Faculty of sciences (Univesité Chouaib Doukkali, Morocco), funded by the Secretary of the State for Development Cooperation and by the CIUF (Conseil Interuniversitaire de la Communauté Française, Belgium). The work of the third author was partially supported by a Research Grant (1997–2001) from the University of Namur (Fonds Spécial de Recherche de la Communauté Française, Belgium).