Local pinning of networks of multi-agent systems with transmission and pinning delays

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dc.citation.epage2662
dc.citation.issueNumber9
dc.citation.spage2657
dc.citation.volumeNumber61
dc.contributor.authorLu, W.
dc.contributor.authorAtay, F. M.
dc.date.accessioned2018-04-12T10:42:52Z
dc.date.available2018-04-12T10:42:52Z
dc.date.issued2016
dc.departmentDepartment of Mathematics
dc.description.abstractWe study the stability of networks of multi-agent systems with local pinning strategies and two types of time delays, namely the transmission delay in the network and the pinning delay of the controllers. Sufficient conditions for stability are derived under specific scenarios by computing or estimating the dominant eigenvalue of the characteristic equation. In addition, controlling the network by pinning a single node is studied. Moreover, perturbation methods are employed to derive conditions in the limit of small and large pinning strengths. Numerical algorithms are proposed to verify stability, and simulation examples are presented to confirm the efficiency of analytic results. � 2015 IEEE.
dc.identifier.doi10.1109/TAC.2015.2508883
dc.identifier.eissn1558-2523
dc.identifier.issn0018-9286
dc.identifier.urihttp://hdl.handle.net/11693/36514
dc.language.isoEnglish
dc.publisherInstitute of Electrical and Electronics Engineers
dc.relation.isversionofhttp://dx.doi.org/10.1109/TAC.2015.2508883
dc.source.titleInstitute of Electrical and Electronics Engineers (IEEE)
dc.subjectDelay
dc.subjectMulti-agent system
dc.subjectPinning control
dc.subjectStability
dc.subjectAlgorithms
dc.subjectConvergence of numerical methods
dc.subjectEigenvalues and eigenfunctions
dc.subjectPerturbation techniques
dc.subjectStability
dc.subjectSystem stability
dc.subjectTime delay
dc.subjectCharacteristic equation
dc.subjectDelay
dc.subjectDominant eigenvalues
dc.subjectNumerical algorithms
dc.subjectPerturbation method
dc.subjectPinning control
dc.subjectSimulation example
dc.subjectTransmission delays
dc.subjectMulti agent systems
dc.titleLocal pinning of networks of multi-agent systems with transmission and pinning delays
dc.typeArticle

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