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. (C) 2011 Elsevier Ltd. All rights reserved.

Discontinuities and hysteresis in quantized average consensus / Francesca, Ceragioli; DE PERSIS, Claudio; Paolo, Frasca. - In: AUTOMATICA. - ISSN 0005-1098. - 47:9(2011), pp. 1916-1928. [10.1016/j.automatica.2011.06.020]

Discontinuities and hysteresis in quantized average consensus

DE PERSIS, Claudio;
2011

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. (C) 2011 Elsevier Ltd. All rights reserved.
2011
quantization; average consensus; hysteresis; hybrid system; generalized solutions
01 Pubblicazione su rivista::01a Articolo in rivista
Discontinuities and hysteresis in quantized average consensus / Francesca, Ceragioli; DE PERSIS, Claudio; Paolo, Frasca. - In: AUTOMATICA. - ISSN 0005-1098. - 47:9(2011), pp. 1916-1928. [10.1016/j.automatica.2011.06.020]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/653419
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