Structural monostability of activation-inhibition Boolean networks

Any networked control system is specified by the combination of the network structure and the dynamics of the components, while one often encounters a situation where the former is known but the latter is (almost) unknown. In such a case, we cannot apply any analysis and design method using the full information of the target system. This paper addresses the structural stability, that is, the stability with unknown component dynamics, for a class of networked control systems. In particular, we consider here Boolean networks and present a series of (necessary and) sufficient conditions for the structural stability.