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Discontinuities and hysteresis in quantized average consensus
Authors:Francesca Ceragioli  Claudio De Persis  Paolo Frasca[Author vitae]
Affiliation:aDipartimento di Matematica, Politecnico di Torino, Torino, Italy;bLab. Mechanical Automation and Mechatronics, University of Twente, Enschede, The Netherlands;cDip. Informatica e Sistemististica, Sapienza Università di Roma, Roma, Italy
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:Average consensus  Quantization  Generalized solutions  Hysteresis  Hybrid system
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