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Discrete-Time Average-Consensus Under Switching Network Topologies

PublisherBrigham Young University
Format219.8KB PDFDate added14 Mar 2006
Topics Switching, Software Engineering
Downloads34

This paper develops a distributed algorithm for average-consensus in a discrete-time framework based on a formal matrix limit definition of average-consensus. Using this algorithm, the average-consensus problem is solved under switching network topologies provided that the network switch between instantaneously balanced, connected-over-time networks. In other words, if at each instant the network is balanced and the union of graphs over every interval T is connected, then average-consensus can be achieved. An interesting product of this analysis is the notion of "Deadbeat" consensus where a system of agents achieves consensus (average or otherwise) in finite time rather than asymptotically.

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