Geodesic
Necessary conditions for discrete dynamical systems with delays and general constraints
Kybernetika, Tome 17 (1981) no. 5, pp. 425-434

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Classification : 49B34, 49K99, 90C30, 93C55 
Doležal, Jaroslav. Necessary conditions for discrete dynamical systems with delays and general constraints. Kybernetika, Tome 17 (1981) no. 5, pp. 425-434. http://geodesic.mathdoc.fr/item/KYB_1981_17_5_a7/
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     title = {Necessary conditions for discrete dynamical systems with delays and general constraints},
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     zbl = {0477.93043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1981_17_5_a7/}
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[1] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming. McGraw-Hill, New York 1970. | MR

[2] V. G.Boltyanskii: Optimal Control of Discrete Systems. (in Russian). Nauka, Moscow 1973. English translation: Wiley, New York 1978. | MR

[3] V. G. Boltyanskii: The method of tents in the theory of extremal problems. (in Russian). Uspekhi mat. nauk XXX (1975), 3,3 - 55. English translation: Russian Math. Surveys 30 (1975), 3, 1-54. | MR

[4] J. Doležal: Necessary optimality conditions for discrete systems with state-dependent control region. Kybernetika 11 (1975), 6, 423-450. | MR

[5] J. T. Fan C. S. Wang: The Discrete Maximum Principle. Wiley, New York 1964.

[6] D. H. Chyung: Discrete optimal systems with time delay. IEEE Trans. Autom. Control AC-13 (1968), 1, 117.

[7] L. Mariani B. Nicoletti: Optimal discrete systems with pure delays. IEEE Trans. Autom. Control AC-18 (1973), 3, 311-313.

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

[9] C. A. Burdet S. P. Sethi: On the maximum principle for a class of discrete dynamical systems with lags. J. Optim. Theory Applies. 19 (1976), 3, 445-454. | MR

[10] J. Doležal: Optimal control of discrete systems: periodic systems and systems with delays. Proc. 5th Symp. Computers in Chemical Engineering, High Tatras 1977, 831 - 834.

[11] J. Doležal: On optimal control of discrete systems with delays. In: Modelling and Optimization of Complex System (G. I. Marchuk, ed.), Lecture Notes in Control and Information Sciences 18. Springer-Verlag, Berlin 1979, 181-186. | MR

[12] J. Doležal: Optimal control of discrete systems involving delays. J. Optim. Theory Applies, (to appear). | MR

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

[14] J. Doležal: Optimal control existence results for general discrete systems. Appl. Math. Optim. 3 (1976), 1, 51-63. | MR

[15] J. Warga: Optimal Control of Differential and Functional Equations. Academic Press, New York 1972. | MR | Zbl

[16] E. B. Lee: Linear hereditary control systems. In: Calculus of Variations and Control Theory (D. L. Russell, ed.). Academic Press, New York 1976, 45-72. | MR | Zbl