Pith. sign in

REVIEW

Discontinuities and hysteresis in quantized average consensus

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1001.2620 v4 pith:KPBVQETP submitted 2010-01-15 math.OC cs.SYeess.SY

Discontinuities and hysteresis in quantized average consensus

Francesca Ceragioli , Claudio De Persis , Paolo Frasca This is my paper
classification math.OC cs.SYeess.SY
keywords consensusaveragedynamicsresultingsystemagentsapproachchattering
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We consider continuous-time average consensus dynamics in which the agents' states are communicated through uniform quantizers. Solutions to the resulting system are defined in the Krasowskii sense and are proven to converge to conditions of "practical consensus". To cope with undesired chattering phenomena we introduce a hysteretic quantizer, and we study the convergence properties of the resulting dynamics by a hybrid system approach.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.