Robust Output Tracking of Delayed Boolean Networks Under Pinning Control

In this brief, a class of robust output tracking problems for delayed Boolean control networks is considered under pinning control. First, we give the algebraic representation for such networks, and then a criterion is derived from one-step robust reachability. Next, a constructive program is presented to design feedback pinning controllers. With the use of these controllers, output tracking is achievable. Further, an algorithm and a procedure are given to identify time-optimal pinning controllers. Finally, an example is used to illustrate the advantages and innovation of the proposed approach.