Global stability at a limit cycle of switched Boolean networks under arbitrary switching signals

This paper studies the global stability at some limit cycle of a switched Boolean network by using the semi-tensor product method. The switched Boolean network is introduced and expressed into an algebraic form. Then, the switching-incidence matrix is constructed and the physical meaning is given. Based on this, a necessary and sufficient condition for the global stability at some limit cycle of the switched Boolean network is given. An illustrative example shows the efficiency of the proposed results.