In this paper, we consider the optimization problems of exact controllability for a new class of fractional impulsive partial stochastic differential systems with state-dependent delay in Hilbert spaces. By utilizing suitable fixed point approach without imposing severe compactness condition on the operators, the theory of analytic sectorial operators, stochastic analysis, and the Hausdorff measure of noncompactness, some sufficient conditions are derived for achieving the required results. Finally, an example is provided to illustrate the obtained theory.

中文翻译：

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通过分析扇形算子优化分数阶脉冲部分随机微分系统的精确可控制性

在本文中，我们考虑了希尔伯特空间中一类新的具有状态依赖时滞的分数阶脉冲局部随机微分系统的精确可控性优化问题。通过使用适当的不动点方法而不对操作员施加严格的紧致条件，分析部门操作员的理论，随机分析和非紧致性的Hausdorff测度，可以得出一些足够的条件来实现所需的结果。最后，提供一个例子来说明所获得的理论。