Set controllability for switched Boolean control networks

Abstract

Abstract This paper investigates the set controllability of switched Boolean control networks. Firstly, the set controllability matrix of switched Boolean control networks is presented via semi-tensor product of matrices and Warshall algorithm. Secondly, set stabilization problem and switched output regulation problem are transformed into set controllability problem. Based on it, necessary and sufficient conditions for the solvability of set stabilization problem and switched output regulation problem are obtained, respectively. Furthermore, the method is proposed for designing the switching signals driving the switched Boolean networks to be set controllable. Finally, examples are given to illustrate the effectiveness of the obtained results.