Author:
,Yasynskyy V.K.,Yurchenko I.V.,
Abstract
The article discusses the comparison theorem for solutions of stochastic functional differential equations under the influence of external disturbances and its application to one stochastic control problem. Keywords: comparison theorem, stochastic control, stochastic functional differential equations.
Publisher
V.M. Glushkov Institute of Cybernetics
Reference15 articles.
1. 1. Bellman R. Dynamic programming and stochastic control processes. Information and Control. 1958. Vol. 1, Iss. 3. P. 228-239. https://doi.org/10.1016/S0019-9958(58)80003-0.
2. 2. Gikhman I.I., Skorokhod A.V. Stochastic differential equations [in Russian]. Kyiv: Nauk. Dumka, 1968. 354 p.
3. 3. Gikhman I.I., Skorokhod A.V. Stochastic differential equations and their applications [in Russian]. Kyiv: Nauk. Dumka, 1982. 612 p.
4. 4. Kolmanovsky V.B., Shaikhet L.E. On one method for constructing an approximate synthesis of optimal control. Dop AN USSR. Ser .А. 1978. N8. P. 32-36.
5. 5. Toshio Yamada. On a comparison theorem for solutions of stochastic differential equations and its applications. Journal Math. Kyoto Univ. 1973. Vol. 13(3). P. 497-512. https://doi.org/10.1215/kjm/1250523 .