Set stabilization for switched Boolean control networks

This paper studies the set stabilization of switched Boolean control networks, in which a feedback control design algorithm is presented by a constructive method. Necessary and sufficient conditions of the set stabilization of switched Boolean control networks under arbitrary switching signals are presented for the cases of the control input relying on switching signals or not, respectively. Furthermore, the corresponding switching-signal-independent and switching-signal-dependent controllers are provided for these two cases, respectively. It is shown that the condition of the switching-signal-dependent controller is less conservative than the one of the switching-signal-independent controller. Finally, examples are given to illustrate the effectiveness of the proposed results.