| Title:
|
Existence of optimal solutions in general discrete systems (English) |
| Author:
|
Doležal, Jaroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
11 |
| Issue:
|
4 |
| Year:
|
1975 |
| Pages:
|
(301)-312 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49J27 |
| MSC:
|
93C25 |
| MSC:
|
93C55 |
| idZBL:
|
Zbl 0318.49007 |
| idMR:
|
MR0490220 |
| . |
| Date available:
|
2009-09-24T16:46:49Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125030 |
| . |
| Reference:
|
[1] R. E. Bellman: Dynamic Programming.Princeton Univ. Press, Princeton, New Jersey, 1957. Zbl 0995.90618, MR 0090477 |
| Reference:
|
[2] C. Berge: Topological Spaces: Multivalued Functions.2nd edition, Dunod, Paris 1966 (in French). |
| Reference:
|
[3] V. I. Blagodatskich: Sufficient Optimality Conditions for Differential Inclusions.Izvestia AN USSR, Ser. Math. 38 (1974), 615-624 (in Russian). MR 0355741 |
| Reference:
|
[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). |
| Reference:
|
[5] V. G. Boltjanskij: Optimal Control of Discrete Systems.Nauka, Moscow 1973 (in Russian). MR 0350575 |
| Reference:
|
[6] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming.McGraw-Hill, New York 1970. MR 0397497 |
| Reference:
|
[7] J. L. Davy: Properties of the Solution Set of a Generalized Differential Equation.Bull. Austr. Math. Soc., 6 (1972), 379-398. Zbl 0239.49022, MR 0303023 |
| Reference:
|
[8] J. Doležal: Discrete Optimization Problems and Multistage Games.Ph. D. Thesis, ÚTIA ČSAV, Prague 1973 (in Czech). |
| Reference:
|
[9] N. Dunford J. T. Schwartz: Linear Operators. Part I: General Theory.Interscience, New York 1958. MR 1009162 |
| Reference:
|
[10] Y. D., Joffe V. M. Tichomirov: Extremum Problems Theory.Nauka, Moscow 1974 (in Russian). |
| Reference:
|
[11] A. N. Kolmogorov S. V. Fomin: Elements of Functions Theory and Functional Analysis.Nauka, Moscow 1972 (in Russian). |
| Reference:
|
[12] C. Olech: Existence Theorems for Optimal Problem with Vector-Valued Cost Function.Trans. American Math. Soc. 136 (1969), 159-180. MR 0234338 |
| Reference:
|
[13] A. I. Propoj: Discrete Control Problems with State Constraints.Žurnal vyč. mat. i mat. fiziki 12 (1965), 1128-1144 (in Russian). |
| . |
