The 4th Annual Dynamic Systems and Control Conference, October 31 - November 2, 2011, Arlington, VA, USA


DSCC 2011 Paper Abstract


Paper MoCT2.4

Abaid, Nicole (Polytechnic Institute of New York University), Porfiri, Maurizio (Polytechnic Institute of NYU)

Influence of Leaders on Mean Square Consentability in Biologically-Inspired Stochastic Networks

Scheduled for presentation during the Invited session "Analysis of Complex Networked Dynamical Systems" (MoCT2), Monday, October 31, 2011, 17:00−17:20, Salon 2

4th Annual Dynamic Systems and Control Conference, Oct 31 - Nov 2, 2011, The Westin Arlington Gateway, Arlington, VA, USA

This information is tentative and subject to change. Compiled on December 2, 2020

Keywords Control of networks, Stochastic systems, Agents-based systems


In this work, we study a discrete-time consensus protocol for a group of agents which communicate over a class of stochastically switching networks inspired by fish schooling. The network model incorporates the phenomenon of numerosity that has a prominent role on the collective behavior of animal groups by defining the individuals’ perception of numbers. The agents comprise leaders, which share a common state, and followers, which update their states based on information exchange among neighboring agents. We write a closed form expression for the asymptotic convergence factor of the protocol, which measures the decay rate of disagreement among the followers’ and the leaders’ states. Numerical simulations are conducted to validate analytical results and illustrate the consensus dynamics as a function of the group size, number of leaders in the group, and the numerosity.



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