Fault Detectability of Asynchronous Delayed Boolean Control Networks With Sampled-Data Control

In this article, the fault detectability problem is addressed for the asynchronous delayed Boolean control networks (ADBCNs) with sampled-data control (SDC) scheme, which is intensively explored to determine whether the occurrence of the faults would have an impact on the outputs of the considered networks. Applying the semi-tensor product method, the asynchronous update rules of the separate states are firstly converted into the synchronous update scheme of the multi-states. After that, the original fault-detectable states are regarded as a parallel set, based on which a dimension reduction model is established, and then the fault detectability problem of the original system is reduced into a global stabilization issue. Subsequently, through the SDC scheme, some fault detectability criteria are proposed for the considered ADBCN. Meanwhile, the SDC matrix can be constructed step by step by resorting to an elegant algorithm provided. Finally, two examples are provided to demonstrate feasibility of the results obtained.