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An optimal control of a periodically nonstationary generalized automaton under fuzzy conditions. (English. Russian original) Zbl 1144.49024

Vestn. St. Petersbg. Univ., Math. 40, No. 4, 315-320 (2007); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2007, No. 4, 128-132 (2007).
Summary: The general problem of successively making optimal decisions on controlling a periodically nonstationary generalized automaton with fuzzy objective and fuzzy constraints on the control is solved. An example of a solution is given.

MSC:

49N90 Applications of optimal control and differential games
90B50 Management decision making, including multiple objectives
Full Text: DOI

References:

[1] R. E. Bellman and L. A. Zadeh, Management Sci. 17, B141–B164 (1970/71). · Zbl 0224.90032 · doi:10.1287/mnsc.17.4.B141
[2] S. A. Orlovskii, Decision-Making Problems with Fuzzy Initial Data (Nauka, Moscow, 1981) [in Russian].
[3] A. Yu. Ponomareva and M. K. Chirkov, Optimization of Generalized Automata with Periodically Changing Structure (St. Petersburg, 2000) [in Russian].
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