Transfer functions in consensus systems with higher-order dynamics and external inputs
Systems and Control
2015-12-17 v1
Abstract
This paper considers transfer functions in consensus systems where agents have identical SISO dynamics of arbitrary order. The interconnecting structure is a directed graph. The transfer functions for various inputs and outputs are presented in simple product forms with a similar structure of the numerator and the denominator. This structure combines the network properties and the agent model in an explicit way. The link between a higher-order and a single-integrator dynamics is shown and the polynomials of the transfer function in the single-integrator system are related to the graph properties. These properties also allow to generalize a result on the minimal dimension of the controllable subspace to the directed graphs.
Keywords
Cite
@article{arxiv.1512.05222,
title = {Transfer functions in consensus systems with higher-order dynamics and external inputs},
author = {Ivo Herman and Dan Martinec and Michael Sebek},
journal= {arXiv preprint arXiv:1512.05222},
year = {2015}
}