@inproceedings{06ef71bf8e3f427e807b802bae12f33b,

title = "The observability radius of network systems",

abstract = "This paper introduces the observability radius of network systems, which measures the robustness of a network to perturbations of the edges. We consider linear networks, where the dynamics are described by a weighted adjacency matrix, and dedicated sensors are positioned at a subset of nodes. We allow for perturbations of certain edge weights, with the objective of preventing observability of some modes of the network dynamics. Our work considers perturbations with a desired sparsity structure, thus extending the classic literature on the controllability and observability radius of linear systems. We propose an optimization framework to determine a perturbation with smallest Frobenius norm that renders a desired mode unobservable from a given set of sensor nodes. We derive optimality conditions and a heuristic optimization algorithm, which we validate through an example.",

keywords = "EWI-27422, IR-102387, METIS-319481",

author = "Gianluca Bianchin and Paolo Frasca and Andrea Gasparri and Fabio Pasqualetti",

year = "2016",

month = jul,

day = "6",

doi = "10.1109/ACC.2016.7524913",

language = "English",

isbn = "978-1-4673-8683-8",

publisher = "IEEE",

pages = "185--190",

booktitle = "American Control Conference (ACC), 2016",

address = "United States",

note = "2016 American Control Conference, ACC 2016, ACC ; Conference date: 06-07-2016 Through 08-07-2016",

}