Set Stabilization of Boolean Control Networks With Missing Data and the Application in Finite-Field Networks

In the actual system, data loss is inevitable and occurs randomly due to transmission obstacles, node faults, network congestion, etc. This article mainly investigates the set stabilization of switched Boolean control networks (SBCNs) with missing data by using the semitensor product (STP) method. In order to solve the problem of random data loss, a new augmented system is constructed. Next, according to the augmented system, a sufficient and necessary condition about the set stability of switched Boolean networks (SBNs) with missing data is proposed. Then, by using the splitting technique of the matrix, the detailed design method of the event-triggered controller is given for the set stabilization of the considered SBCNs. In addition, the application in consensus of switched finite-field networks (SFFNs) with missing data is explored. Finally, two examples are provided to validate the theoretical results of this article.