Local identification in diffusively coupled linear networks

Physical dynamic networks most commonly consist of interconnections of physical components that can be described by diffusive couplings. Diffusive couplings imply symmetric cause-effect relationships in the interconnections and therefore diffusively coupled networks can be represented by undirected graphs. This paper shows how local dynamics of (undirected) diffusively coupled networks can be identified on the bases of local signals only. Sensors and actuators are allocated to guarantee consistent identification. An algorithm is developed for identifying the local dynamics.