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On filtering over Îto-Volterra observations

机译:关于Îto-Volterra观测值的过滤

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In this paper, the Kalman-Bucy filter is designed for an Îto-Volterra process over Ito-Volterra observations that cannot be reduced to the case of a differential observation equation. The Kalman-Bucy filter is then designed for an Ito-Volterra process over discontinuous Ito-Volterra observations. Based on the obtained results, the filtering problem over discrete observations with delays is solved. Proofs of the theorems substantiating the filtering algorithms are given.
机译:在本文中,卡尔曼-Bucy滤波器是针对Ito-Volterra观测的Îto-Volterra过程而设计的,不能将其简化为微分观测方程的情况。然后将卡尔曼-Bucy滤波器设计用于在不连续的Ito-Volterra观测上进行Ito-Volterra过程。根据获得的结果,解决了具有时滞的离散观测值的滤波问题。给出了证明滤波算法的定理证明。

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