Open AccessMinimal‐order transfer functions of dynamical multi‐agent consensus systems
Author(s) -
Yoon Myunggon
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2015.0905
Subject(s) - multi agent system , transfer function , consensus , control theory (sociology) , order (exchange) , computer science , function (biology) , representation (politics) , dynamical systems theory , mathematics , control (management) , engineering , artificial intelligence , physics , finance , quantum mechanics , evolutionary biology , politics , law , political science , electrical engineering , economics , biology
This study deals with transfer functions of a multi‐agent consensus system, composed of identical linear time‐invariant dynamical agents. Motivated by the fact that stabilisation of a single agent in a multi‐agent consensus system with an exogenous controller results in collective stability of all agents, the authors study transfer function representation of a controlled agent in a consensus system. It is shown that the transfer function order of a controlled agent is always greater than double the transfer function order of an isolated agent and that the smallest double order is realised if and only if a controlled agent has inter‐agent connections with all other agents of a consensus system.