A unified view of aggregation and coherency in networks and Markov chains†

1 October 1984

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 40 (5) , 939-952
https://doi.org/10.1080/00207178408933320

Abstract

This paper presents a unified treatment of aggregability, lumpability, coherency, reversibility, partial balance and similar properties appearing in different fields including power systems and queueing theory. A coherency condition, well known in power systems, implies the existence of a finite state filter for Markov chains, while aggregability and coherency yield a new condition for decentralized computation of the invariant measure.

Keywords

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