Output tracking of periodically time-variant Boolean control networks

This paper investigates the output tracking problem of periodically time-variant Boolean control networks. First, by semi-tensor product, output reachability of system is analyzed, which is the one of the key issues. Secondly, via the property of output reachability, a necessary and sufficient condition for the existence of a control for output tracking problem is proposed. Then, two design algorithms of a free control sequence and a state feedback control are established. Finally, one practical example is shown to demonstrate the effectiveness of the theoretical results.