An adjoint network approach to design stabilizable switching signals of switched Boolean networks

Abstract

In this paper, two kinds of stabilizability of switched Boolean networks (SBNs), consistent stabilizability and stabilizability under time-varying output feedback (TVOF), are investigated on the basis of adjoint logical networks (ALNs), which are constructed via switching signals. Firstly, globally consistent stabilizability of SBNs is equivalently converted into local (one state) pointwise stabilizability of ALNs, under which all suitable finite-time switching signals can be designed. Then the method is generalized to design stabilizable TVOF switching signals. Finally, to show the effectiveness of obtained results, two types of stabilizability of a shift register are discussed.