Some boundary optimal control problems related to a singular cost functional

Mohamed Akkouchi; Abdellah Bounabat

Annales mathématiques Blaise Pascal (2001)

  • Volume: 8, Issue: 1, page 7-15
  • ISSN: 1259-1734

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Akkouchi, Mohamed, and Bounabat, Abdellah. "Some boundary optimal control problems related to a singular cost functional." Annales mathématiques Blaise Pascal 8.1 (2001): 7-15. <http://eudml.org/doc/79229>.

@article{Akkouchi2001,
author = {Akkouchi, Mohamed, Bounabat, Abdellah},
journal = {Annales mathématiques Blaise Pascal},
keywords = {perturbed states; singular cost functionals; linear boundary optimal control systems; sets of admissible controls; bounded; unbounded},
language = {eng},
number = {1},
pages = {7-15},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Some boundary optimal control problems related to a singular cost functional},
url = {http://eudml.org/doc/79229},
volume = {8},
year = {2001},
}

TY - JOUR
AU - Akkouchi, Mohamed
AU - Bounabat, Abdellah
TI - Some boundary optimal control problems related to a singular cost functional
JO - Annales mathématiques Blaise Pascal
PY - 2001
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 8
IS - 1
SP - 7
EP - 15
LA - eng
KW - perturbed states; singular cost functionals; linear boundary optimal control systems; sets of admissible controls; bounded; unbounded
UR - http://eudml.org/doc/79229
ER -

References

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  1. [1] M. Akkouchi, A. Bounabat AND T. Benkiran, Study of a Perturbed Boundary Optimal Control System. Appl. Math. Lett.. Vol. 9, No. 1, pp. 95-99, 1996. Zbl0851.49003MR1389605
  2. [2] M. Akkouchi, A. Bounabat AND T. Benkiran, Some results on convergence linked to a perturbed boundary optimal control system. Extracta Mathematicae. Vol. 9, No. 2, pp. 105-110, 1994. Zbl1016.49019MR1325291
  3. [3] A. Bounabat, Etude d'un problème de contrôle optimal. Thèse de 3-ème cycle, Université des Sciences et Techniques de Lille I (June 1981). 
  4. [4] H. Brezis, Analyse Fonctionnelle, Théorie et Applications. Masson, Paris, ( 1983). Zbl0511.46001MR697382
  5. [5] J.L. Lions AND E. Magenes, Problèmes aux limites non Homogènes et Applications. Vol. 1, Dunod, Paris, (1968). Zbl0165.10801MR247243
  6. [6] J.L. Lions, Contrôle Optimal de Systèmes Gouvernés par des Equations aux Dérivées partielles. Dunod - Guthier-Villars, Paris, (1968). Zbl0179.41801MR244606
  7. [7] J.L. Lions, Perturbation Singulère dans les problèmes aux limites et en Contrôle Optimal. Springer-Verlag, Berlin, (1973). Zbl0268.49001MR600331
  8. [8] V. Mikhailov, Equations aux dérivées partielles. Editions Mir, Moscou, (1980). Zbl0549.35001MR595502

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