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This paper considers dynamic networks where vertices and edges representmanifest signals and causal dependencies among the signals, respectively. Weaddress the problem of how to determine if the dynamics of a network can beidentified when only partial vertices are measured and excited. A necessarycondition for network identifiability is presented, where the analysis isperformed based on identifying the dependency of a set of rational functionsfrom excited vertices to measured ones. This condition is further characterisedby using an edge-removal procedure on the associated bipartite graph. Moreover,on the basis of necessity analysis, we provide a necessary and sufficientcondition for identifiability in circular networks.

A Necessary Condition for Network Identifiability with Partial Excitation and Measurement