Detectability of Mix-valued Logical Networks

In this paper, the detectability of mix-valued logical networks (MLNs) is investigated based on the semi-tensor product of matrices. Firstly, weak detectability and strong detectability are introduced into MLNs. Secondly, based on the data form of MLNs, the necessary and sufficient conditions are established to check the two types of detectability of MLNs. Furthermore, an algorithm is proposed to check the detectability of MLNs. Finally, two examples are given to show the feasibility of the theoretical results.