隐确定性系统的精确有限维滤波器

1986 American Control Conference Pub Date : 1986-06-18 DOI:10.1109/ACC.1986.4172224

F. Daum

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引用次数: 9

摘要

结果表明，只有当输入输出模型是线性系统的一个“子系统”时，才存在有限维精确滤波器的密码确定性估计问题。这概括了结果为0。Hijab[1]，它涵盖了定常植物模型的特殊情况。而且，它的证明比Hijab的证明简单得多，因为它是使用Bayes规则和广义Fisher-Darmois-Koopman-Pitman定理的初等计算。

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Exact Finite Dimensional Filters for Cryptodeterministic Systems

It is shown that the only cryptodeterministic estimation problems with exact finite dimensional filters are those in which the input-output model is a "subsystem" of a linear system. This generalizes a result of 0. Hijab [1], which covers the special case of time-invariant plant models. Moreover, the proof is much simpler than Hijab's, as it is an elementary calculation using Bayes rule and the generalized Fisher-Darmois-Koopman-Pitman theorem.

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1986 American Control Conference

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