Diffusive network connected chemical reaction networks

A novel type of networked Chemical Reaction Network (CRN) model is proposed in this paper where the CRN subsystem nodes are connected in a bi-directional state-difference-driven way, forming a diffusive network. The diffusive connecting elements can also be dynamic and can be modelled as open linear CRN subsystems. It has been shown that the overall model of the diffusively connected CRN network is also in a CRN form with block-structured complex composition and Kirchhoff matrices that can be constructed from the network topology and the individual models of the network nodes. Considering static diffusive manipulable and disturbance inputs, setpoint tracking and disturbance attenuation controllers have also been proposed. The properties of the introduced model and controller are illustrated through a case study.