ABSTRACT

In recent years, due to the great importance of switched systems in both theoretical development and practical applications, the study of switched Boolean networks (SBNs) has drawn a great deal of attention. It describes that the dynamics of Boolean networks is governed by different switching models, which appears frequently in reality. This chapter discusses the stability analysis and the control design of SBNs. Firstly, based on switching point reachability, some necessary and sufficient conditions for the global stability of SBN under arbitrary switching signal are presented. Secondly, the controllability analysis and the control design are discussed for SBNs with state and input constraints. Thirdly, a kind of disturbance decoupling problems is investigated for switched Boolean control networks and gives a constructive procedure to design all possible state feedback and output feedback disturbance decoupling controllers.