In this paper, we present a distributed version of the KYP-Lemma with the goal to express the strictly positive real-property for a class of physically interconnected systems by a set of local LMI-conditions. The resulting conditions are subsequently used to constructively design distributed circle criterion estimators, which are able to collectively estimate an underlying linear system with a sector bounded nonlinearity.
@article{arxiv.1604.03014,
title = {Distributed Nonlinear Observer with Robust Performance - A Circle Criterion Approach},
author = {Jingbo Wu and Frank Allgöwer},
journal= {arXiv preprint arXiv:1604.03014},
year = {2016}
}