Journal article
Observability limits for networked oscillators
E O'Sullivan-Greene, I Mareels, L Kuhlmann, A Burkitt
Automatica | Published : 2014
Abstract
Inspired by the neuro-scientific problem of predicting brain dynamics from electroencephalography (EEG) measurements of the brain's electrical activity, this paper presents limitations on the observability of networked oscillators sensed with quantised measurements. The problem of predicting highly complex brain dynamics sensed with relatively limited amounts of measurement is abstracted to a study of observability in a network of oscillators. It is argued that a low-dimensional quantised measurement is in fact, by itself, an exceptionally poor observer for a large-scale oscillator network, even for the case of a completely connected graph. The main rational is based on (i) an information-th..
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Funding Acknowledgements
This work is based on ongoing collaboration with St. Vincent's Hospital, Melbourne. We want to acknowledge in particular Prof. Mark Cook, Dr. Karen Fuller, Dr. Andrea Varsavsky, Dr. Dean Freestone, Andre Peterson, Michelle Chong and A/Prof. David Grayden. Many thanks to Prof Jonathan Manton for sifting out useful trigonometric identities from papers past. We thank National ICT Australia (NICTA) and the Victorian Life Sciences Computation Initiative (VLSCI), for financial and computational support of this work respectively. Our sincere gratitude is extended to the reviewers for their insightful comments which most certainly improved this manuscript.