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Reaching a Consensus in a Dynamically Changing Environment: A Graphical Approach

Cao, Ming; Morse, A Stephen; Anderson, Brian


This paper presents new graph-theoretic results appropriate for the analysis of a variety of consensus problems cast in dynamically changing environments. The concepts of rooted, strongly rooted, and neighbor-shared are defined, and conditions are derived for compositions of sequences of directed graphs to be of these types. The graph of a stochastic matrix is defined, and it is shown that under certain conditions the graph of a Sarymsakov matrix and a rooted graph are one and the same. As an...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Siam Journal on Control and Optimization
DOI: 10.1137/060657005


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