44 citations · 61 across the 9 of their papers we have counts for
3 papers · 1 filter
Continuous-time average-preserving opinion dynamics with opinion-dependent communications
Vincent D. Blondel, Julien M. Hendrickx, John N. Tsitsiklis
We study a simple continuous-time multi-agent system related to Krause's model of opinion dynamics: each agent holds a real value, and this value is continuously attracted by every…
Distributed Subgradient Methods and Quantization Effects
Angelia Nedić, Alex Olshevsky, Asuman Ozdaglar +1
We consider a convex unconstrained optimization problem that arises in a network of agents whose goal is to cooperatively optimize the sum of the individual agent objective functio…
On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms
Alex Olshevsky, John N. Tsitsiklis
We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verifi…