Title
Graph-Theoretic Analysis Of Estimators For Stochastically-Driven Diffusive Network Processes
Abstract
Monitoring of a linear diffusive network dynamics that is subject to a stationary stochastic input is considered, from a graph-theoretic perspective. Specifically, the performance of minimum mean square error (MMSE) estimators of the stochastic input and network state, based on remote noisy measurements, is studied. Using a graph-theoretic characterization of frequency responses in the diffusive network model, we show that the performance of an off-line (noncausal) estimator exhibits an exact topological pattern, which is related to vertex cuts and paths in the network's graph. For on-line (causal) estimation, graph theoretic results are obtained for the case where the measurement noise is small.
Year
Venue
Field
2018
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC)
Topology,Network dynamics,Frequency response,Noise measurement,Vertex (geometry),Control theory,Computer science,Minimum mean square error,Transfer function,Network model,Estimator
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Sandip Roy130153.03
Mengran Xue26113.36
Shreyas Sundaram378465.39