On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms

dc.creatorOlshevsky, Alex
dc.creatorTsitsiklis, John N.
dc.date2007-06-19
dc.date2008-03-08
dc.date.accessioned2026-07-07T09:25:21Z
dc.date.available2026-07-07T09:25:21Z
dc.descriptionWe provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in [5]. We also briefly discuss sufficient conditions for the existence of such a Lyapunov function.
dc.identifierhttps://arxiv.org/abs/0706.2876
dc.identifierhttp://arxiv.org/abs/0706.2876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156378
dc.subjectOptimization and Control
dc.titleOn the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms
dc.typetext

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