In this section
@article{Griggs:2025:10.1080/00207179.2025.2469281,
author = {Griggs, WM and Ghosh, R and Mareek, J and Shorten, RN},
doi = {10.1080/00207179.2025.2469281},
journal = {International Journal of Control},
title = {Unique ergodicity in feedback interconnections of ensembles of agents},
url = {http://dx.doi.org/10.1080/00207179.2025.2469281},
year = {2025}
}
TY - JOUR
AB - Recent results on the unique ergodicity of feedback systems, which strive to orchestrate the behaviour of a single ensemble of agents, demonstrate that, under straightforward conditions, convergence in distribution of the feedback loop to a unique invariant measure can be guaranteed. These results were motivated by sharing-economy applications, where one strives to provide guarantees on the allocation of constrained resources under a feedback signal. In this paper, we extend these existing results to the case of larger-scale interconnections containing two or more ensembles of agents. This direction may be construed as an analogue of the classical theory of interconnected dynamical systems under uncertainty of the systems' models. Our key finding is that traditional small-gain-like results do not apply. In the case of linear filters and controllers, interconnections of such ensembles of agents are uniquely ergodic if and only if the controllers and filters are stable.
AU - Griggs,WM
AU - Ghosh,R
AU - Mareek,J
AU - Shorten,RN
DO - 10.1080/00207179.2025.2469281
PY - 2025///
SN - 0020-7179
TI - Unique ergodicity in feedback interconnections of ensembles of agents
T2 - International Journal of Control
UR - http://dx.doi.org/10.1080/00207179.2025.2469281
ER -
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