Consensus with guaranteed convergence rate of high-order integrator agents in the presence of time-varying delays

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dc.creatorHeitor J. Savino
dc.creatorFernando de Oliveira Souza
dc.creatorLuciano Cunha de Araújo Pimenta
dc.date.accessioned2025-03-26T12:59:01Z
dc.date.accessioned2025-09-08T23:36:04Z
dc.date.available2025-03-26T12:59:01Z
dc.date.issued2016
dc.identifier.doi10.1080/00207721.2014.998750
dc.identifier.issn0020-7721
dc.identifier.urihttps://hdl.handle.net/1843/80926
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofInternational Journal of Systems Science
dc.rightsAcesso Restrito
dc.subjectEngenharia elétrica
dc.subjectSistemas lineares
dc.subjectControle robusto
dc.subjectDesigualdades matriciais lineares
dc.subject.otherconsensus, time-varying delay, high-order systems, Lyapunov–Krasovskii theory, linear matrix inequalities
dc.subject.otherLMI, multi-agent system with high-order integrator dynamics achieves consensus
dc.subject.otheranalysing high-order systems, directed networks, non-differentiable time delays
dc.titleConsensus with guaranteed convergence rate of high-order integrator agents in the presence of time-varying delays
dc.typeArtigo de periódico
local.citation.epage2486
local.citation.issue10
local.citation.spage2475
local.citation.volume47
local.description.resumoThis paper aims to study the consensus problem in directed networks of agents with high-order integrator dynamics and fixed topology. It is considered the existence of non-uniform time-varying delays in the agents control laws for each interaction between agents and their neighbours. Based on Lyapunov–Krasovskii stability theory and algebraic graph theory, sufficient conditions, in terms of linear matrix inequalities, are given to verify if consensus is achieved with guaranteed exponential convergence rate. The efficiency of the proposed method is verified by numerical simulations. The simulations reveal that the conditions established in this work outperformed the similar existing ones in all numerical tests accomplished in this paper.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.tandfonline.com/doi/full/10.1080/00207721.2014.998750

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