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On the Solvability of Synthesis Problem for Optimal Point Control of Oscillatory Processes

机译:关于振动过程最优点控制的合成问题的可解性

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In this paper we consider the synthesis problem of optimal point control in the optimization of oscillatory processes in the case when the equation of the boundary value problem contains the Fredholm integral operator. The investigation is conducted according to the methodology of Professor A.I. Egorov developed by him on the basis of the Bellman scheme. Using the concepts of a generalized solution of the boundary value problem and the concept of the Fréchet differential for the Bellman functional, we obtain the integro-differential Bellman—Egorov equation in partial derivatives. The structure of the solution of the Cauchy— Bellman—Egorov problem is found.
机译:在本文中,考虑到最佳点控制的合成问题在边界值问题的等式中的振荡过程中的优化过程中包含Fredholm积分运算符。调查是根据A.I教授的方法进行的。 Egorov在贝尔曼方案的基础上由他开发。利用边值问题的广义解决方案的概念和贝尔曼功能的弗拉赫特差分的概念,我们在部分衍生物中获得了积分差分贝尔曼-Egorov方程。发现了Cauchy-Bellman-Egorov问题的解决方案。

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