Stability by Fixed Point Theory in Consensus Dynamics

Simple item page
dc.contributor.advisorBaras, John
dc.contributor.authorSomarakis, Christoforos
dc.contributor.authorBaras, John
dc.contributor.authorParaskevas, Evripidis
dc.date.accessioned2014-08-25T12:36:08Z
dc.date.available2014-08-25T12:36:08Z
dc.date.issued2014-08-22
dc.description.abstractWe study the stability of linear time invariant distributed consensus dynamics in the presence of multiple propagation and processing delays. We employ fixed point theory (FPT) methods and derive sufficient conditions for asymptotic convergence to a common value while the emphasis is given in estimating the rate of convergence. We argue that this approach is novel in the field of networked dynamics as it is also flexible and thus capable of analyzing a wide variety of consensus based algorithms for which conventional Lyapunov methods are either too restrictive or unsuccessful.en_US
dc.identifierhttps://doi.org/10.13016/M27P47
dc.identifier.urihttp://hdl.handle.net/1903/15581
dc.language.isoen_USen_US
dc.relation.isAvailableAtInstitute for Systems Researchen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, MD)en_us
dc.relation.ispartofseriesISR; TR 2014-06en_US
dc.subjectFixed Pointsen_US
dc.subjectStabilityen_US
dc.subjectRate of Convergenceen_US
dc.subjectDelaysen_US
dc.subjectConsensus Dynamicsen_US
dc.subjectFlocking Networksen_US
dc.titleStability by Fixed Point Theory in Consensus Dynamicsen_US
dc.typeTechnical Reporten_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
TR_2014-06.pdf
Size:
675.2 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.57 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Institute for Systems Research Technical Reports