Initial-condition estimation in network synchronization processes: Algebraic and graphical characterizations of the estimator

Abstract:

A graph-theoretic analysis of state inference for a class of network synchronization (or diffusive) processes is pursued. Precisely, estimation is studied for a nonrandom initial condition of a canonical synchronization dynamic defined on a graph, from noisy observations at a single network node. By characterizing the maximum-likelihood estimation of the initial condition and the associated Cramer-Rao bound, graph properties are identified (e.g., symmetries, interconnection strengths, spectral measures) that determine (1) whether or not estimation is possible and (2) the quality of the estimate. © 2013 Complex Systems Publications, Inc.

Año de publicación:

2012

Keywords:

Fuente:

scopus