Geodesic
Existence of optimal solutions in general discrete systems
Kybernetika, Tome 11 (1975) no. 4, pp. 301-312 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 49J27, 93C25, 93C55 
@article{KYB_1975_11_4_a4,
     author = {Dole\v{z}al, Jaroslav},
     title = {Existence of optimal solutions in general discrete systems},
     journal = {Kybernetika},
     pages = {301--312},
     year = {1975},
     volume = {11},
     number = {4},
     mrnumber = {0490220},
     zbl = {0318.49007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1975_11_4_a4/}
}
TY  - JOUR
AU  - Doležal, Jaroslav
TI  - Existence of optimal solutions in general discrete systems
JO  - Kybernetika
PY  - 1975
SP  - 301
EP  - 312
VL  - 11
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KYB_1975_11_4_a4/
LA  - en
ID  - KYB_1975_11_4_a4
ER  - 
%0 Journal Article
%A Doležal, Jaroslav
%T Existence of optimal solutions in general discrete systems
%J Kybernetika
%D 1975
%P 301-312
%V 11
%N 4
%U http://geodesic.mathdoc.fr/item/KYB_1975_11_4_a4/
%G en
%F KYB_1975_11_4_a4
Doležal, Jaroslav. Existence of optimal solutions in general discrete systems. Kybernetika, Tome 11 (1975) no. 4, pp. 301-312. http://geodesic.mathdoc.fr/item/KYB_1975_11_4_a4/

[1] R. E. Bellman: Dynamic Programming. Princeton Univ. Press, Princeton, New Jersey, 1957. | MR | Zbl

[2] C. Berge: Topological Spaces: Multivalued Functions. 2nd edition, Dunod, Paris 1966 (in French).

[3] V. I. Blagodatskich: Sufficient Optimality Conditions for Differential Inclusions. Izvestia AN USSR, Ser. Math. 38 (1974), 615-624 (in Russian). | MR

[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).

[5] V. G. Boltjanskij: Optimal Control of Discrete Systems. Nauka, Moscow 1973 (in Russian). | MR

[6] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming. McGraw-Hill, New York 1970. | MR

[7] J. L. Davy: Properties of the Solution Set of a Generalized Differential Equation. Bull. Austr. Math. Soc., 6 (1972), 379-398. | MR | Zbl

[8] J. Doležal: Discrete Optimization Problems and Multistage Games. Ph. D. Thesis, ÚTIA ČSAV, Prague 1973 (in Czech).

[9] N. Dunford J. T. Schwartz: Linear Operators. Part I: General Theory. Interscience, New York 1958. | MR

[10] Y. D., Joffe V. M. Tichomirov: Extremum Problems Theory. Nauka, Moscow 1974 (in Russian).

[11] A. N. Kolmogorov S. V. Fomin: Elements of Functions Theory and Functional Analysis. Nauka, Moscow 1972 (in Russian).

[12] C. Olech: Existence Theorems for Optimal Problem with Vector-Valued Cost Function. Trans. American Math. Soc. 136 (1969), 159-180. | MR

[13] A. I. Propoj: Discrete Control Problems with State Constraints. Žurnal vyč. mat. i mat. fiziki 12 (1965), 1128-1144 (in Russian).