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Inverse theorem in dynamic programming. II. (English) Zbl 0445.49031


MSC:

49L20 Dynamic programming in optimal control and differential games
90C39 Dynamic programming

Keywords:

inverse theorem
Full Text: DOI

References:

[1] Bellman, R., Dynamic Programming (1957), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0077.13605
[2] Bellman, R.; Dreyfus, S. E., Applied Dynamic Pogramming (1962), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0106.34901
[3] Bellman, R.; Kalaba, R., Dynamic Programming and Modern Control Theory (1965), Academic Press: Academic Press New York and London · Zbl 0156.16902
[4] Furukawa, N.; Iwamoto, S., Dynamic programming on recursive reward systems, Bull. Math. Statist., 17, 103-126 (1976) · Zbl 0378.49021
[5] Hogan, W. W., Point-to-set maps in mathematical programming, SIAM Rev., 15, 591-603 (1973) · Zbl 0256.90042
[6] Iwamoto, S., Finite horizon Markov games with recursive payoff systems, Mem. Fac. Sci. Kyushu Univ. Ser. A, 29, 123-147 (1975) · Zbl 0351.90088
[7] Iwamoto, S., Applications of Recursive Dynamic Programming (1975), preprint (in Japanese)
[8] Iwamoto, S., Inverse theorem in dynamic programming I, J. Math. Anal. Appl., 58, 113-134 (1977) · Zbl 0445.49030
[9] Mitten, L. G., Composition principles for synthesis of optimal multistage processes, Operations Res., 12, 610-619 (1964) · Zbl 0127.36502
[10] Memhauser, G. L., Introduction to Dynamic Programming (1966), Wiley: Wiley New York
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