ABSTRACT
Boolean network is a special kind of finite-value systems whose state, input and output take values from {0,1}. Boolean networks were initially motivated by Jacob and Monod in 1960s, and then were proposed by Kauffman to describe, analyze and simulate gene regulatory networks. This chapter discusses the stability analysis and control design of Boolean networks. The topological structure of Boolean networks is reviewed, based on which, the Lyapunov-based stability and function perturbation are considered for Boolean networks. Then the feedback stabilization of Boolean control networks is studied, and some necessary and sufficient conditions are presented for the feedback stabilization control design. Finally, the output tracking of Boolean control networks is investigated, including constant reference signal case and time-varying reference signal case.
