Collective dynamics and model verification: Connecting kinetic modeling to data

Consensus and synchronization over biologically-inspired networks: from collaboration to antagonism

Subhradeep Roy

Virginia Tech
[SLIDES]

We study consensus and synchronization over two types of interaction networks. The first captures both collaborative and antagonistic interactions and the second considers the impact of leaders in purely collaborative interactions. The general network structure in both cases is that of so-called conspecific agents, which is specialized to a numerosity-constrained (NC) network for the second case. NC networks incorporate an upper limit to the number perception of each agent. We establish closed form results for the rate of convergence to consensus over each network type and conditions for stochastic synchronization in the second case.