On the ergodic control of ensembles in the presence of non-linear filters

In many sharing-economy applications, as well as in other, conventional applications, one wishes to regulate the behaviour of an ensemble of agents with guarantees on both the regulation of the ensemble in aggregate and the revenue or quality of service associated with each agent. Previous work [Automatica, Volume 108, 108483] has developed guarantees of unique ergodicity when there are linear filters. Here, we extend the guarantees to systems including non-linear elements, such as non-linear filters. (c) 2023 Published by Elsevier Ltd.

Automated summary

In many sharing-economy applications and other conventional applications, it is desirable to regulate the behavior of an ensemble of agents while guaranteeing both the regulation of the ensemble as a whole and the revenue or quality of service of each agent. Previous research has established guarantees of unique ergodicity in the presence of linear filters. In this study, we extend these guarantees to systems that include non-linear elements such as non-linear filters.