Functional equations in dynamic programming. (English) Zbl 0397.39016


39B99 Functional equations and inequalities
90C39 Dynamic programming
49J05 Existence theories for free problems in one independent variable
62M99 Inference from stochastic processes
Full Text: DOI EuDML


[1] Bellman, R.,Dynamic programming. Princeton University Press, Princeton, N.J., 1957. · Zbl 0077.13605
[2] Bellman, R.,Adaptive control processes. A guided tour. Princeton University Press, Princeton, N.J., 1961. · Zbl 0103.12901
[3] Bellman, R. andDreyfus, S.,Applied dynamic programming. Princeton University Press, Princeton, N.J., 1962.
[4] Arrow, K. J., Karlin, S. andScarf, H.,Studies in the mathematical theory of inventory and production. Stanford University Press, Stanford, 1958. · Zbl 0079.36003
[5] Mine, H. andOsaki, S.,Markovian decision-processes. American Elsevier, New York, 1970. · Zbl 0209.51601
[6] Howard, R. A.,Dynamic programming and Markov processes. Wiley, 1960. · Zbl 0091.16001
[7] Bellman, R.,Introduction to the mathematical theory of control processes, Volumes I and II, 1967, 1971. Academic Press, New York. · Zbl 0164.39601
[8] Dreyfus, S.,Dynamic programming and the calculus of variations. Academic Press, New York, 1965. · Zbl 0193.19401
[9] Aris, R.,Discrete dynamic programming. Blaisdell, New York, 1964. · Zbl 0122.37503
[10] Bellman, R. andAngel, E.,Dynamic programming and partial differential equations. Academic Press, New York, 1972. · Zbl 0312.49011
[11] Lee, E. S.,Quasilinearization and invariant imbedding. Academic Press, New York, 1968. · Zbl 0212.17602
[12] Bellman, R. andWing, G. M.,An introduction to invariant imbedding. Wiley, New York, 1975. · Zbl 0325.34001
[13] Wing, G. M.,An introduction to transport theory. Wiley, New York, 1962. · Zbl 0102.43004
[14] Bellman, R. andZadeh, L. A.,Decision-making in a fuzzy environment, Management Sciences 17, (1970), B-141–B164. · Zbl 0224.90032
[15] Bellman, R.,A note on cluster analysis and dynamic programming. Mathematical Biosciences 19 (1973), 311–312. · Zbl 0277.49010
[16] Chang, S. S. L.,Fuzzy dynamic programming and decision-making process. InProceedings of the 3rd Princeton Conference on Information Sciences, 1969, pp. 200–203.
[17] Zadeh, L. A.,Fuzzy sets. Information and Control,8 (1965), 338–353. · Zbl 0139.24606
[18] Zadeh, L. A.,Fuzzy algorithms. Information and Control12 (1968), 94–102. · Zbl 0182.33301
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.