<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Herman, Ivo</style></author><author><style face="normal" font="default" size="100%">Dan Martinec</style></author><author><style face="normal" font="default" size="100%">Michael Šebek</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Transfer functions in consensus systems with higher-order dynamics and external inputs</style></title><secondary-title><style face="normal" font="default" size="100%">submitted</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2015</style></year></dates><abstract><style face="normal" font="default" size="100%">&lt;p&gt;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.&lt;/p&gt;
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