Flocks, herds and schools: A distributed behavioral model
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Convergence Speed in Distributed Consensus and Averaging
SIAM Journal on Control and Optimization
Finite-time convergent gradient flows with applications to network consensus
Automatica (Journal of IFAC)
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We study the convergence time required to achieve consensus in dynamic networks. In each time step, a node's value is updated to some weighted average of its neighbors' and its old values. We study the case when the underlying network is dynamic, and investigate different averaging models. Both our analysis and experiments show that dynamic networks exhibit fast convergence behavior, even under very mild connectivity assumptions.