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ЖУРНАЛЫ // Theory of Stochastic Processes // Архив

Theory Stoch. Process., 2007, том 13(29), выпуск 3, страницы 3–11 (Mi thsp223)

On one stochastic optimal control problem with variable delay

Ch. A. Agayevaa, J. J. Allahverdiyeva

a Baku State University, Institute of Cybernetics, Baku, Azerbaijan, Yasar University, Izmir, Turkey

Аннотация: The purpose of this paper is to give necessary conditions for the optimality of non- linear stochastic control systems with variable delay and with constraint on the right end of a trajectory. The necessary optimality conditions in the form of a stochastic analogy of the maximum principle are obtained. These conditions are contained in Theorems 1 and 2.

Ключевые слова: Stochastic differential equations, variable delay, stochastic optimal control problem, necessary conditions of optimality, admissible controls.

MSC: 93E20

Язык публикации: английский



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