Real Eventual Exponential Positivity of Complex-valued Laplacians: Applications to Consensus in Multi-agent Systems

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dc.contributor.authorSaxena, Aditi
dc.contributor.authorTripathy, Twinkle
dc.contributor.authorAnguluri, Rajasekhar
dc.date.accessioned2024-11-14T15:19:08Z
dc.date.available2024-11-14T15:19:08Z
dc.date.issued2024-10-17
dc.description.abstractIn this paper, we explore the property of eventual exponential positivity (EEP) in complex matrices. We show that this property holds for the real part of the matrix exponential for a certain class of complex matrices. Next, we present the relation between the spectral properties of the Laplacian matrix of an unsigned digraph with complex edge-weights and the property of real EEP. Finally, we show that the Laplacian flow system of a network is stable when the negated Laplacian admits real EEP. Numerical examples are presented to demonstrate the results.
dc.description.urihttp://arxiv.org/abs/2410.13700
dc.format.extent6 pages
dc.genrejournal articles
dc.genrepreprints
dc.identifierdoi:10.13016/m2ujrj-oqd1
dc.identifier.urihttps://doi.org/10.48550/arXiv.2410.13700
dc.identifier.urihttp://hdl.handle.net/11603/36995
dc.language.isoen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department
dc.relation.ispartofUMBC Faculty Collection
dc.rightsAttribution 4.0 International CC BY 4.0 Deed
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectElectrical Engineering and Systems Science - Systems and Control
dc.subjectComputer Science - Systems and Control
dc.titleReal Eventual Exponential Positivity of Complex-valued Laplacians: Applications to Consensus in Multi-agent Systems
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-2537-2778

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