The reconstructibility analysis and observer design for general Boolean control networks (BCNs) are investigated in this paper. At first, to discriminate reconstructibility from observability, the relationship between different types of observability and reconstructibility existing in the literature is studied. For reconstructibility analysis, explicit and recursive methods are derived. A termination condition is provided to avoid the running of the recursive method longer than necessary. After that, if a general BCN is reconstructible, then an approach for observer design is given. The Luenberger-like observer for general BCNs is introduced to facilitate an online implementation. The state estimate always contains the real state and converges to the real state at a time not later than the minimal reconstructibility index. Finally, examples are given to illustrate the proposed approaches.

中文翻译：

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布尔控制网络的可重构性分析和观察者设计

本文研究了通用布尔控制网络（BCN）的可重构性分析和观察者设计。首先，为了将可重构性与可观察性区分开，研究了文献中存在的不同类型的可观察性与可重构性之间的关系。对于可重构性分析，导出了显式和递归方法。提供了终止条件，以避免递归方法的运行时间超过必要的时间。此后，如果通用的BCN是可重构的，则给出了一种用于观察者设计的方法。引入了类似于Luenberger的通用BCN观察器，以促进在线实施。状态估计值始终包含真实状态，并且在不小于最小可重构性指标的时间收敛到真实状态。最后，