×

A state constrained optimal control problem related to the sterilization of canned foods. (English) Zbl 0800.93940


MSC:

93C95 Application models in control theory
90B90 Case-oriented studies in operations research
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Adams, R., (Sobolev Spaces (1975), Academic Press: Academic Press NY) · Zbl 0314.46030
[2] Bermúdez, A.; Martínez, A., Optimal control of industrial sterilization of canned foods, (V IFAC Symposium held in Perpignan. V IFAC Symposium held in Perpignan, France. V IFAC Symposium held in Perpignan. V IFAC Symposium held in Perpignan, France, Control of Distributed Parameter Systems (1990), Pergamon Press: Pergamon Press Oxford), 405-409, selected papers from the · Zbl 0709.49021
[3] Bermúdez, A.; Saguez, C., Optimal control of a Signorini problem, SIAM J. Control and Optimization, 25, 576-582 (1987) · Zbl 0617.49011
[4] Bonnans, J. F., An introducton to Newton type algorithms for nonlinearly constrained optimization problems, (Penot, J. P., International Series of Numerical Mathematics, Vol. 87 (1989), Birkhauser-Verlag: Birkhauser-Verlag Basel), 1-17
[5] Bonnans, J. F.; Casas, E., Controle de systèmes elliptiques semilineaires comportant des contraintes distribuées sur l’etat, (Brezis, H.; Lions, J. L., Nonlinear partial differential equations and their applications. Collège de France seminar (1988), Pitman: Pitman London) · Zbl 0656.49011
[6] Casas, E., Control of an elliptic problem with pointwise state constraints, SIAM J. on Control and Optimiz., 24, 1309-1318 (1986) · Zbl 0606.49017
[7] Casas, E.; Pola, C., (PLCBAS User’s Guide VERSION 1.1. Computación 1 (1989), Universidad de Cantrabria: Universidad de Cantrabria Santander, Spain)
[8] Delebecke, F.; Klimann, C.; Steer, S., BASILE: Un sisteme de CAO pour l’Atomatique, (Guide d’utilisation (1989), INRIA: INRIA Rocquencourt, France)
[9] Ekeland, I.; Temam, R., Convex analysis and variational problems (1976), North-Holland: North-Holland Amsterdam
[10] Lasiecka, I., State constrained control problems for parabolic systems: regularity of optimal solutions, Appl. Math. Optim., 6, 1-29 (1980) · Zbl 0431.49015
[11] Lions, J. L., Quelques methodes de resolution des problemes aux limites non lineaires (1969), Dunod: Dunod Paris · Zbl 0189.40603
[12] Mackenroth, U., Convex parabolic boundary control problems with pointwise state constraints, J. Math. Anal. Appl., 87, 256-277 (1982) · Zbl 0494.49016
[13] Mossino, J., An application of duality methods to distributed optimal control problems with constraints on the control and the state, J. Math. Anal. Appl., 50, 223-242 (1975) · Zbl 0304.49003
[14] Nadkarni, M.; Hatton, T. A., Optimal nutrient retention during the thermal processing of conduction-heated canned foods: application of the distributed minimum principle, J. Food Sci., 50, 1312-1321 (1985)
[15] Olin Ball, C.; Olson, F. C.W., Sterilization in food technology (1957), McGraw-Hill: McGraw-Hill NY
[16] Pérez Martín, R. I., Estudio de los tratamientos térmicos en la fabricación de conservas de atún blanco y su incidencia en la calidad, (Doctoral dissertation (1986), University of Santiago de Compostela: University of Santiago de Compostela Spain)
[17] Pérez Martín, R. I.; Banga, J. R.; Gallardo, J. M., Simulation of thermal processes in tuna can manufacture (1989), Instituto de Investigaciones Marinas (C.S.I.C.): Instituto de Investigaciones Marinas (C.S.I.C.) Vigo, Spain
[18] Protter, M. H.; Weinberger, H. F., Maximum principles in differential equations (1984), Springer Verlag: Springer Verlag NY · Zbl 0153.13602
[19] Sagny, I.; Karel, M., Optimal retort temperature profile in optimizing thiamine retention in conduction type heating of canned foods, J. Food Sci., 44, 1485-1490 (1979)
[20] White, L. W., A control problem with pointwise state constraints, IEEE Trans. Automat. Control, 29, 722-724 (1984) · Zbl 0552.49028
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.