Optimal control of linear bottleneck problems

M. Bergounioux; F. Tröltzsch

ESAIM: Control, Optimisation and Calculus of Variations (1998)

  • Volume: 3, page 235-250
  • ISSN: 1292-8119

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Bergounioux, M., and Tröltzsch, F.. "Optimal control of linear bottleneck problems." ESAIM: Control, Optimisation and Calculus of Variations 3 (1998): 235-250. <http://eudml.org/doc/90521>.

@article{Bergounioux1998,
author = {Bergounioux, M., Tröltzsch, F.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {continuous linear programming; distributed parameter systems; bottleneck constraints; state constraints; regularity; Lagrange multipliers; linear parabolic optimal control problems},
language = {eng},
pages = {235-250},
publisher = {EDP Sciences},
title = {Optimal control of linear bottleneck problems},
url = {http://eudml.org/doc/90521},
volume = {3},
year = {1998},
}

TY - JOUR
AU - Bergounioux, M.
AU - Tröltzsch, F.
TI - Optimal control of linear bottleneck problems
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1998
PB - EDP Sciences
VL - 3
SP - 235
EP - 250
LA - eng
KW - continuous linear programming; distributed parameter systems; bottleneck constraints; state constraints; regularity; Lagrange multipliers; linear parabolic optimal control problems
UR - http://eudml.org/doc/90521
ER -

References

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  5. [5] M. Bergounioux, F. Tröltzsch: Optimality conditions and generalized Bang-Bang principle for a state constrained semilinear parabolic problem, Numerical Functional Analysis and Optimization, 15, 1996, 517-537. Zbl0858.49021MR1404833
  6. [6] I. Ekeland, R. Temam: Analyse convexe et problèmes variationnels, Dunod Gauthier-Villars, Paris, 1974. Zbl0281.49001MR463993
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  9. [9] A.D. Ioffe, V.M. Tikhomirov: Theory of extremal problems, North-Holland, Amsterdam, 1979(translation from the Russian). Zbl0407.90051MR528295
  10. [10] N. Levinson: A class of continuous linear programming problems, J. Math. Anal. Appl., 16, 1966, 73-83. Zbl0141.35601MR205686
  11. [11] F. Tröltzsch: Optimality conditions for parabolic control problems and applications, Teubner Texte zur Mathematik, Leipzig, 1984. Zbl0587.49021MR768586
  12. [12] F. Tröltzsch: A modification of the Zowe and Kurcyusz regularity condition with application to the optimal control of Noether operator equations with constraints on the control and the state, Math. Operationforsch, Statist., Serie Optimization, 14 (2), 1983, 245-253. Zbl0523.90091MR701799
  13. [13] F. Tröltzsch: Existenz- und Dualitätsaussagen für lineare Optimierungsaufgaben in reflexiven Banachräumen, Math. Operationsforsch. u. Statist., 6, 1975, 901-912. Zbl0325.90035MR399986
  14. [14] F. Tyndall: A duality theorem for a class of continuous linear programming problems, Journal of SIAM, 13, 1965, 644-666. Zbl0171.40701MR191640
  15. [15] J. Zowe, S. Kurcyusz: Regularity and stability for the mathematical programming problem in Banach spaces, Applied Mathematics and Optimization, 5, 1979, 49-62. Zbl0401.90104MR526427

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