Output Tracking of Boolean Control Networks Driven by Constant Reference Signal

In this paper, output tracking problem for the Boolean control networks (BCNs) under constant reference signal is investigated. A theorem is presented for solving the output tracking problem of BCNs. A set, named the maximum invariant set, is obtained to solve the output tracking problem under shortest time, and based on the invariant set, the number of state feedback matrices which make the output tracking successful is obtained. Compare with the existing results, the computational cost can be dramatically reduced by using our method. Finally, the results presented in this brief is verified by a biological network.