Discontinuities and hysteresis in quantized average consensus
Optimization and Control
2011-03-16 v4 Systems and Control
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.
Keywords
Cite
@article{arxiv.1001.2620,
title = {Discontinuities and hysteresis in quantized average consensus},
author = {Francesca Ceragioli and Claudio De Persis and Paolo Frasca},
journal= {arXiv preprint arXiv:1001.2620},
year = {2011}
}
Comments
26 pages, 7 figures. Accepted for publication in Automatica. v4 is minor revision of v3