Existence of optimal solutions in general discrete systems

Jaroslav Doležal

Kybernetika (1975)

  • Volume: 11, Issue: 4, page (301)-312
  • ISSN: 0023-5954

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Doležal, Jaroslav. "Existence of optimal solutions in general discrete systems." Kybernetika 11.4 (1975): (301)-312. <http://eudml.org/doc/28185>.

@article{Doležal1975,
author = {Doležal, Jaroslav},
journal = {Kybernetika},
language = {eng},
number = {4},
pages = {(301)-312},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Existence of optimal solutions in general discrete systems},
url = {http://eudml.org/doc/28185},
volume = {11},
year = {1975},
}

TY - JOUR
AU - Doležal, Jaroslav
TI - Existence of optimal solutions in general discrete systems
JO - Kybernetika
PY - 1975
PB - Institute of Information Theory and Automation AS CR
VL - 11
IS - 4
SP - (301)
EP - 312
LA - eng
UR - http://eudml.org/doc/28185
ER -

References

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  1. R. E. Bellman, Dynamic Programming, Princeton Univ. Press, Princeton, New Jersey, 1957. (1957) Zbl0995.90618MR0090477
  2. C. Berge, Topological Spaces: Multivalued Functions, 2nd edition, Dunod, Paris 1966 (in French). (1966) 
  3. V. I. Blagodatskich, Sufficient Optimality Conditions for Differential Inclusions, Izvestia AN USSR, Ser. Math. 38 (1974), 615-624 (in Russian). (1974) MR0355741
  4. V. I. Blagodatskich, Time Optimal Control Problem for Differential Inclusions, Preprints of the IFIP Conference on Optimalization Techniques, Novosibirsk 1974 (to appear at Springer-Verlag). (1974) 
  5. V. G. Boltjanskij, Optimal Control of Discrete Systems, Nauka, Moscow 1973 (in Russian). (1973) MR0350575
  6. M. D. Canon C. D. Cullum E. Polak, Theory of Optimal Control and Mathematical Programming, McGraw-Hill, New York 1970. (1970) MR0397497
  7. J. L. Davy, Properties of the Solution Set of a Generalized Differential Equation, Bull. Austr. Math. Soc., 6 (1972), 379-398. (1972) Zbl0239.49022MR0303023
  8. J. Doležal, Discrete Optimization Problems and Multistage Games, Ph. D. Thesis, ÚTIA ČSAV, Prague 1973 (in Czech). (1973) 
  9. N. Dunford J. T. Schwartz, Linear Operators. Part I: General Theory, Interscience, New York 1958. (1958) MR1009162
  10. Y. D., Joffe V. M. Tichomirov, Extremum Problems Theory, Nauka, Moscow 1974 (in Russian). (1974) 
  11. A. N. Kolmogorov S. V. Fomin, Elements of Functions Theory and Functional Analysis, Nauka, Moscow 1972 (in Russian). (1972) 
  12. C. Olech, Existence Theorems for Optimal Problem with Vector-Valued Cost Function, Trans. American Math. Soc. 136 (1969), 159-180. (1969) MR0234338
  13. A. I. Propoj, Discrete Control Problems with State Constraints, Žurnal vyč. mat. i mat. fiziki 12 (1965), 1128-1144 (in Russian). (1965) 

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