Exact stability analysis of second-order leaderless and leader–follower consensus protocols with rationally-independent multiple time delays

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dc.contributor.authorCepeda-Gomez, Rudyspa
dc.contributor.authorOlgac, Nejatspa
dc.coverage.campusCRAI-USTA Bogotáspa
dc.date.accessioned2020-01-22T17:54:15Zspa
dc.date.available2020-01-22T17:54:15Zspa
dc.date.issued2013-04-13spa
dc.description.abstractAn investigation of double-integrator agents with directed asymmetric consensus protocols and multiple rationally independent time delays is presented in this paper from two novel perspectives. First, we complement the group consensus literature on crucial stability analysis, using a recent technique called the Cluster Treatment of Characteristic Roots (CTCR) for the first time on this class of time-delayed systems. The CTCR paradigm is pursued after a block-diagonalization (mode-decoupling) transformation on the system. This treatment produces some unique stability tables for the dynamics in the space of the delays which are non-conservative and exhaustive. Second, a novel concept of spectral delay space is presented, as an overture to the CTCR for the determination of the complete set of stabilitycrossing (switching) hypersurfaces in the delay space. Examples are provided to display the strengths and efficiency of this new stability analysis mechanism.spa
dc.description.domainhttp://unidadinvestigacion.usta.edu.cospa
dc.format.mimetypeapplication/pdfspa
dc.identifier.doihttps://doi.org/10.1016/j.sysconle.2013.02.011spa
dc.identifier.urihttp://hdl.handle.net/11634/21036
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dc.rightsAtribución-NoComercial-CompartirIgual 2.5 Colombia*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/2.5/co/*
dc.subject.keywordDelayspa
dc.subject.keywordRationally-independent delaysspa
dc.subject.keywordCTCRspa
dc.subject.keywordConsensusspa
dc.subject.keywordDirected topologyspa
dc.titleExact stability analysis of second-order leaderless and leader–follower consensus protocols with rationally-independent multiple time delaysspa
dc.type.categoryGeneración de Nuevo Conocimiento: Artículos publicados en revistas especializadas - Electrónicosspa

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