On discrete control problems having a minmax type objective functional

Jaroslav Doležal; Ronald R. Mohler

Kybernetika (1981)

  • Volume: 17, Issue: 6, page 549-554
  • ISSN: 0023-5954

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Doležal, Jaroslav, and Mohler, Ronald R.. "On discrete control problems having a minmax type objective functional." Kybernetika 17.6 (1981): 549-554. <http://eudml.org/doc/28792>.

@article{Doležal1981,
author = {Doležal, Jaroslav, Mohler, Ronald R.},
journal = {Kybernetika},
keywords = {minmax problems; discrete systems; necessary optimality conditions},
language = {eng},
number = {6},
pages = {549-554},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On discrete control problems having a minmax type objective functional},
url = {http://eudml.org/doc/28792},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Doležal, Jaroslav
AU - Mohler, Ronald R.
TI - On discrete control problems having a minmax type objective functional
JO - Kybernetika
PY - 1981
PB - Institute of Information Theory and Automation AS CR
VL - 17
IS - 6
SP - 549
EP - 554
LA - eng
KW - minmax problems; discrete systems; necessary optimality conditions
UR - http://eudml.org/doc/28792
ER -

References

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  1. W. E. Schmitendorf, Necessary conditions and sufficient conditions for static minmax problems, J. Math. Anal. Appl. 57 (1977), 3, 683-693. (1977) Zbl0363.90103MR0430916
  2. W. E. Schmitendorf, A simple derivation of necessary conditions for static minmax problems, J. Math. Anal. Appl. 70 (1979), 2, 486-489. (1979) Zbl0435.49029MR0543589
  3. J. Doležal, On necessary conditions for static minmax problems with constraints, J. Math. Anal. Appl. To be published 
  4. J. Doležal, On the problem of necessary conditions for static minmax problems, Problems of Control and Information Theory. To be published. 
  5. M. D. Canon C. D. Cullum E. Polak, Theory of Optimal Control and Mathematical Programming, McGraw-Hill, New York 1970. (1970) MR0397497
  6. V. G. Boltyanskii, Optimal Control of Discrete Systems, Nauka, Moscow 1973. English Trans.. Wiley, New York 1978. (1973) MR0350575
  7. J. Doležal, Necessary optimality conditions for discrete systems with state-dependent control region, Kybernetika 11 (1975), 6, 423-450. (1975) MR0401278
  8. V. G. Boltyanskii I. S. Cebotaru, Necessary conditions in a minimax problem, Dokl. Akad. Nauk SSSR 213 (1973), 2, 257-260. English Trans.: Soviet Math. Dokl. 14 (1973), 6, 1665-1668. (1973) MR0355745

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