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| DOI | 10.1080/00207179.2014.891360 | ||||
| Año | 2014 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
In this paper, we analyse the optimality of affine control system of several species in competition for a single substrate on a sequential batch reactor, with the objective being to reach a given (low) level of the substrate. We allow controls to be bounded measurable functions of time plus possible impulses. A suitable modification of the dynamics leads to a slightly different optimal control problem, without impulsive controls, for which we apply different optimality conditions derived from Pontryagin principle and the Hamilton-Jacobi-Bellman equation. We thus characterise the singular trajectories of our problem as the extremal trajectories keeping the substrate at a constant level. We also establish conditions for which an immediate one impulse (IOI) strategy is optimal. Some numerical experiences are then included in order to illustrate our study and show that those conditions are also necessary to ensure the optimality of the IOI strategy.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | RODRIGUEZ, JULIO CESAR | Hombre |
Universidad de Valparaíso - Chile
Univ Fed Amazonas - Brasil Universidade Federal do Amazonas - Brasil |
| 2 | RAMIREZ-ESTAY, HECTOR | Hombre |
Universidad de Chile - Chile
|
| 3 | GAJARDO-ADARO, PEDRO RODRIGO | Hombre |
Universidad Técnica Federico Santa María - Chile
|
| 4 | Rapaport, Alain | Hombre |
UMR INRA SupAgro MISTEA EPI INRA INRIA - Francia
Montpellier SupAgro - Francia Mathematiques informatiques et statistique pour l’environnement et l’agronomie (MISTEA) - Francia |
| Fuente |
|---|
| FONDECYT |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Coordenação de Aperfeiçoamento de Pessoal de Nível Superior |
| Fondo Nacional de Desarrollo CientÃfico y Tecnológico |
| Coordenação de Aperfeiçoamento de Pessoal de NÃvel Superior |
| INRIA |
| Inria-Chile |
| Institut national de recherche en informatique et en automatique (INRIA) |
| ICE-Universidade Federal do Amazonas |
| INCTMat Avanco Global e Integrado da Matematica Brasilera e Contribucoes a Regiao Processo |
| CAPES-Brasil |
| INCTMat Avanc¸o Global e Integrado da Matemática Brasilera e Contribuc¸oes a Região Processo |
| Agradecimiento |
|---|
| J.C. Rodriguez is supported by FONDECYT Proyecto No. 1130538, INCTMat Avanco Global e Integrado da Matematica Brasilera e Contribucoes a Regiao Processo, ICE-Universidade Federal do Amazonas, CAPES-Brasil, Projeto PRONEX-UFAM. H. Ramirez is supported by FONDECYT Proyecto No. 1110888. BASAL Project Center for Mathematical Modelling, Universidad de Chile, Anillo ACT1106, project BIONATURE of CIRIC, INRIA-Chile. P. Gajardoi is supported by FONDECYT Proyecto No. 1120239, INRIA-Chile. A. Rapaport is supported by INRIA. |
| J.C. Rodríguez is supported by FONDECYT Proyecto No. 1130538, INCTMat Avanc¸o Global e Integrado da Matemática Brasilera e Contribuc¸oes a Região Processo, ICE-Universidade Federal do Amazonas, CAPES–Brasil, Projeto PRONEX-UFAM. H. Ramírez is supported by FONDECYT Proyecto No. 1110888. BASAL Project Center for Mathematical Modelling, Universi-dad de Chile, Anillo ACT1106, project BIONATURE of CIRIC, INRIA-Chile. P. Gajardoi is supported by FONDECYT Proyecto No. 1120239, INRIA-Chile. A. Rapaport is supported by INRIA. |