We consider systems that consist of infinitely many identical subsystems over an infinite undirected graph. Stability analysis for such systems is performed and embedded into multiplier theory from robust control. This allows to apply recently developed gain-scheduling methods for dynamic multipliers in order to design stabilizing controllers and yields LMI conditions for their existence that are less conservative than existing ones.
%0 Conference Paper
%1 HolSch16
%A Holicki, Tobias
%A Scherer, Carsten W.
%B 55th IEEE Conf. Decision and Control
%D 2016
%K EXC310 curated
%P 5238-5244
%R 10.1109/CDC.2016.7799071
%T Controller Synthesis for Distributed Systems over Undirected Graphs
%U https://doi.org/10.1109/CDC.2016.7799071
%X We consider systems that consist of infinitely many identical subsystems over an infinite undirected graph. Stability analysis for such systems is performed and embedded into multiplier theory from robust control. This allows to apply recently developed gain-scheduling methods for dynamic multipliers in order to design stabilizing controllers and yields LMI conditions for their existence that are less conservative than existing ones.
@inproceedings{HolSch16,
abstract = {We consider systems that consist of infinitely many identical subsystems over an infinite undirected graph. Stability analysis for such systems is performed and embedded into multiplier theory from robust control. This allows to apply recently developed gain-scheduling methods for dynamic multipliers in order to design stabilizing controllers and yields LMI conditions for their existence that are less conservative than existing ones.},
added-at = {2021-12-01T22:01:50.000+0100},
author = {Holicki, Tobias and Scherer, Carsten W.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/261feaac7e819c1834e54d2ef2b860600/simtech},
booktitle = {55th IEEE Conf. Decision and Control},
doi = {10.1109/CDC.2016.7799071},
interhash = {3bae93ddeb467cc5fe0516508d096172},
intrahash = {61feaac7e819c1834e54d2ef2b860600},
keywords = {EXC310 curated},
pages = {5238-5244},
timestamp = {2024-03-12T10:23:51.000+0100},
title = {Controller Synthesis for Distributed Systems over Undirected Graphs},
url = {https://doi.org/10.1109/CDC.2016.7799071},
year = 2016
}