Özet:

In this article, we discuss the transition systems expressed by the class of linear stocastic equations. The optimal control problem, which is the quarter-target function for differential equations containing delayed phase and control parameters, has been created and the optimization problem for the condition that has a limit at the right end point has been studied. In literature, known as the True Quarter Regulator and expressed by fixed ratio stocastic differential equations is sufficient for the optimal likelihood of this problem and the necessary condition is proved in the form of the maximum principle. In addition, there have been contradictory conditions for the finding of the transition points that are important for the transition systems. The sond has found a way of recycling of the optical control that is important for the problems of the Direct Quarter Regulator. The solution, the recycling problem expressed by the Rikkati equations, was applied to variable delayed stocastic systems in this study.

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