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20092023
most citedDiscrete Partitioning and Coverage Control for Gossiping Robots

100 citations · 343 across the 43 of their papers we have counts for

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Showing 2010Show all

6 papers · 1 filter

math.OC2010

The asymptotical error of broadcast gossip averaging algorithms

Paolo Frasca, Fabio Fagnani

In problems of estimation and control which involve a network, efficient distributed computation of averages is a key issue. This paper presents theoretical and simulation results…

math.AP2010★ 39 cited

Existence and approximation of probability measure solutions to models of collective behaviors

Andrea Tosin, Paolo Frasca

In this paper we consider first order differential models of collective behaviors of groups of agents based on the mass conservation equation. Models are formulated taking the spat…

cs.RO2010★ 100 cited

Discrete Partitioning and Coverage Control for Gossiping Robots

Joseph W. Durham, Ruggero Carli, Paolo Frasca +1

We propose distributed algorithms to automatically deploy a team of mobile robots to partition and provide coverage of a non-convex environment. To handle arbitrary non-convex envi…

math.OC2010

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…

math.OC2010★ 5 cited

Broadcast gossip averaging algorithms: interference and asymptotical error in large networks

Paolo Frasca, Fabio Fagnani

In this paper we study two related iterative randomized algorithms for distributed computation of averages. The first one is the recently proposed Broadcast Gossip Algorithm, in wh…

math.OC2010★ 3 cited

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…