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In this paper, using semi-tensor product and the vector form of Boolean logical variables, the asynchronous Boolean networks under different update schemes are converted into probabilistic discrete time dynamic systems, and the structure matrix of discrete time dynamic systems is a probabilistic transaction. It provides a new way to study the properties of random Boolean networks. Under this framework,...
From the viewpoint of engineering practice, the accuracy requirement of building settlement observation and the implementation process are discussed in detail in this paper, and the process of how to calculate the data are discussed as well, in some special cases, whether the occurred settlement effects the safety of buildings were studied. In the end, this paper puts forward the solution for building...
Using the structural matrix, we give a new frame work to study asynchronous random Boolean networks under different update schemes, which contain asynchronous random networks (ARBNs), deterministic asynchronous random networks (DARBNs), generalized asynchronous random networks (GARBNs), deterministic generalized asynchronous random networks (DGARBNs). The ARBNs and GARBNs are converted to probabilistic...
The ring structure and Boolean variables are investigated and they are used to define the product of Boolean matrices. The logical operators have also been extended to the operators on Boolean matrices. Based on these, the vector distance between Boolean matrices is defined. Some properties are revealed. Finally, the vector distance is used to the analysis of the stability of Boolean networks and...
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