Identifiability of Dynamic Networks from Structure

Eduardo Mapurunga, Alexandre Sanfelice Bazanella · IFAC-PapersOnLine · 2021

In this paper we determine under which additional requirements a dynamic network is generically identifiable when some structures within it are known to be generically identifiable. We derive a set of necessary or sufficient conditions to determine generic identifiability of the whole network. The conditions take form as rank conditions of these specific structures and also in the topology of the network. Necessary and sufficient conditions for generic identifiability are given for classes of networks with parallel paths among the nodes. For the quite general case of networks whose graph is acyclic, we present necessary and sufficient conditions to determine whether a particular node needs to be excited and/or measured.

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