Geodesic
Necessary optimality conditions for discrete systems with state-dependent control region
Kybernetika, Tome 11 (1975) no. 6, pp. 423-450
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 49K99, 49M99, 90C30, 90C50, 90C90, 93C55 
@article{KYB_1975_11_6_a4,
     author = {Dole\v{z}al, Jaroslav},
     title = {Necessary optimality conditions for discrete systems with state-dependent control region},
     journal = {Kybernetika},
     pages = {423--450},
     year = {1975},
     volume = {11},
     number = {6},
     mrnumber = {0401278},
     zbl = {0321.49014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1975_11_6_a4/}
}
TY  - JOUR
AU  - Doležal, Jaroslav
TI  - Necessary optimality conditions for discrete systems with state-dependent control region
JO  - Kybernetika
PY  - 1975
SP  - 423
EP  - 450
VL  - 11
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/KYB_1975_11_6_a4/
LA  - en
ID  - KYB_1975_11_6_a4
ER  - 
%0 Journal Article
%A Doležal, Jaroslav
%T Necessary optimality conditions for discrete systems with state-dependent control region
%J Kybernetika
%D 1975
%P 423-450
%V 11
%N 6
%U http://geodesic.mathdoc.fr/item/KYB_1975_11_6_a4/
%G en
%F KYB_1975_11_6_a4
Doležal, Jaroslav. Necessary optimality conditions for discrete systems with state-dependent control region. Kybernetika, Tome 11 (1975) no. 6, pp. 423-450. http://geodesic.mathdoc.fr/item/KYB_1975_11_6_a4/

[1] M. Canon C. Cullum E. Polak: Constrained minimization problems in finite dimensional spaces. SIAM J. Control 4 (1966), 3, 528-547. | MR

[2] N. O. DaCunha E. Polak: Constrained minimization under vector-valued criteria in finite dimensional spaces. J. Math. Anal. Applies. 19 (1967), 1, 103-124. | MR

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

[4] A. Blaqiuère F. Gérard G. Leitman: Quantitative and Qualitative Games. Academic Press, New York 1969. | MR

[5] B. Г. Болтянский: Оптимальное управление дискретным системами. Наука, Москва 1973. | Zbl

[6] L. S. Pontrjagin V. G. Boltjanskij R. V. Gamkrelidze J. F. Miščenko: Matematická teorie optimálních procesů. SNTL, Praha 1964.

[7] M. R. Hestenes: Calculus of Variations and Optimal Control Theory. Wiley and Sons, New York 1966. | MR | Zbl

[8] A. Я. Дубовицкий А. А. Милютин: Задачи на экстремум при надичии ограничений. Журнал выч. математики и мат. физики 5 (1965), 3, 395-453. | MR | Zbl

[9] L. W. Neustadt: A general theory of extremals. J. Comp. Syst. Sci. 3 (1969), 1, 57-92. | MR | Zbl

[10] P. B. Гамкрелидзе Г. Л. Харатишвили: Экстремальные задачи в линейных топологических пространствах. Изв. AH CCCP сер. мат. 33 (1969) 4, 781-839. | Zbl

[11] R. V. Gamkrelidze: First-order necessary conditions and axiomatics for extremal problems. Proc. Steklov Inst. Math. 112 (1971), 156-186. | MR

[12] J. Doležal: Problémy diskrétního optimálního řízení a diferenční hry. Thesis ÚTIA ČSAV, Praha 1973.

[13] J. Doležal: Existence of optimal solutions in general discrete systems. Kybernetika 11 (1975), 4, 301-312. | MR

[14] J. M. Holtzman: Convexity and maximum principle for discrete systems. IEEE Trans. Autom. Contr. AC-11 (1966), 1, 30-35. | MR

[15] J. M. Holtzman: On the maximum principle for non-linear discrete-time systems. IEEE Trans. Autom. Contr. AC-11 (1966), 4, 273-274. | MR

[16] J. M. Holtzman H. Halkin: Directional convexity and the maximum principle for discrete systems. SIAM J. Control 4 (1966), 2, 263-275. | MR

[17] H. Halkin: A maximum principle of the Pontryagin type for systems described by nonlinear difference equations. SIAM J. Control 4 (1966), 1, 90-111. | MR | Zbl

[18] A. И. Пропой: Элементы теории оптимальных дискретных процессов. Наука, Москва 1973. | Zbl

[19] C. Olech: Existence theorems for optimal problems with vector-valued cost function. Trans. Amer. Math. Soc. 136 (1969), 159-180. | MR | Zbl

[20] B. Г. Болтянсий: Математические методы оптимального управления. Наука, Москва 1969. | Zbl

[21] B. И. Благодатских: Достаточие условия оптимальности. Дифференциальные уравнения 9 (1973), 416-422. | MR | Zbl

[22] W. F. Hogan: Point to set maps in mathematical programming. SIAM Review 15 (1973), 3, 591-603. | MR | Zbl

[23] J. Doležal: Some properties of nonzero-sum multistage games. Preprints of the 6th IFIP Technical Conference on Optimization Techniques. Novosibirsk 1974.

[24] J. Doležal: Open-loop hierarchical solution of multistage games. Proceedings of the 2nd Formator Symposium, Prague 1974. Academia, Praha 1975.

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

[26] G. Leitmann: An Introduction to Optimal Control. McGraw-Hill, New York 1966. | Zbl

[27] S. A. W. Drew: The application of hierarchical control methods to a managerial problem. Int. J. Systems Sci. 6 (1975), 4, 371-395. | MR | Zbl

[28] P. S. Ritch: Discrete optimal control with multiple constraints I.: Constraint separation and transformation technique. Automatica 9 (1973), 4, 415-429. | MR | Zbl

[29] P. S. Ritch: Discrete optimal control with multiple constraints II: The batch crystallisation of sugar. Automatica 9 (1973), 4, 431-440. | MR