Output tracking control for master-slave Boolean control network via a decomposition technology

This paper solves output tracking problem of master-slave Boolean control network(MS-BCN) via a decomposition method. To ensure that the slave Boolean network(BN) tracks a constant reference signal, we search for an uncertainty control set and provide a method to determine such an uncertainty control set. Then we focus on the master BN and assign the real controllers to guarantee that all states of the master BN are steered into the uncertainty control set. In dealing with the master BN, we introduce two different methods to find the largest open-loop control invariant set and closed-loop control invariant set. Finally, an illustrative example shows that the obtained algorithm is effective.