Discontinuities and hysteresis in quantized average consensus

Details Discontinuities and hysteresis in quantized average consensus Discontinuities and hysteresis in quantized average consensus

2010-01-15

arxiv.org/abs/1001.2620v4

Mathematics

Optimization and Control

26 pages, 7 figures. Accepted for publication in Automatica. v4 is minor revision of v3

Scientific paper

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.

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