A Sharp Bound on the s-Energy and Its Applications to Averaging Systems

Author(s): Chazelle, Bernard

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DC Field	Value	Language
dc.contributor.author	Chazelle, Bernard	-
dc.date.accessioned	2021-10-08T19:45:56Z	-
dc.date.available	2021-10-08T19:45:56Z	-
dc.date.issued	2019-10	en_US
dc.identifier.citation	Chazelle, Bernard. "A Sharp Bound on the s-Energy and Its Applications to Averaging Systems." IEEE Transactions on Automatic Control 64, no. 10 (2019): pp. 4385-4390. doi:10.1109/TAC.2019.2899509	en_US
dc.identifier.issn	0018-9286	-
dc.identifier.uri	https://arxiv.org/pdf/1802.01207.pdf	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1cj99	-
dc.description.abstract	The s-energy is a generating function of wide applicability in network-based dynamics. We derive an (essentially) optimal bound of (3/ρs) n-1 on the s-energy of an n-agent symmetric averaging system, for any positive real s ≤ 1, where ρ is a lower bound on the nonzero weights. This is done by introducing the new dynamics of twist systems. We show how to use the new bound on the s-energy to tighten the convergence rates of systems in opinion dynamics, flocking, and synchronization.	en_US
dc.format.extent	4385 - 4390	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	IEEE Transactions on Automatic Control	en_US
dc.rights	Author's manuscript	en_US
dc.title	A Sharp Bound on the s-Energy and Its Applications to Averaging Systems	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	10.1109/TAC.2019.2899509	-
dc.identifier.eissn	1558-2523	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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