Switching-signal-triggered pinning control for output tracking of switched Boolean networks

In this research the output tracking problems with respect to a constant and a periodic output signal for switched Boolean networks (BNs) are studied. Based on the semi-tensor product of matrices, an algebraic expression of switched BNs is obtained. Then, some conditions are presented to ensure output tracking issues with respect to a constant and a periodic output signal, respectively. Further, a new design of switching-signal-triggered pinning controllers is proposed to achieve output tracking. Finally, the discussion of an apoptosis network shows that the theoretic results are effective in designing the switching-signal-triggered pinning controllers to achieve output tracking.