Robust Output Tracking of Boolean Networks with Disturbance Inputs under One-Bit Perturbation

This paper investigates the one-bit function perturbation impact on robust output tracking (ROT) of Boolean Networks with disturbance inputs (DBNs). First, the problem of ROT of DBNs is reviewed and the function perturbation problem is formulated. Then, with the help of semi-tensor product (STP) of matrics, the equivalent algebraic form of DBNs is established. Moreover, the ROT problem of a reference signal is transformed into the robust set stability problem of DBNs. Furthermore, by constructing a state set, several criteria are obtained to verify whether DBNs can achieve ROT after one-bit perturbations. Finally, an illustrative example is given to verify the results of this paper.