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Generalized solutions to opinion dynamics models with discontinuities
Francesca Ceragioli, Paolo Frasca, Benedetto Piccoli +1
Social dynamics models may present discontinuities in the right-hand side of the dynamics for multiple reasons, including topology changes and quantization. Several concepts of gen…
Continuous-time Discontinuous Equations in Bounded Confidence Opinion Dynamics
Francesca Ceragioli, Paolo Frasca
This report studies a continuous-time version of the well-known Hegselmann-Krause model of opinion dynamics with bounded confidence. As the equations of this model have discontinuo…
Discontinuities and hysteresis in quantized average consensus
Francesca Ceragioli, Claudio De Persis, Paolo Frasca
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…