A parabolic approach to the control of opinion spreading
Optimization and Control
2022-03-30 v2
Abstract
We analyze the problem of controlling to consensus a nonlinear system modeling opinion spreading. We derive explicit exponential estimates on the cost of approximately controlling these systems to consensus, as a function of the number of agents N and the control time-horizon T. Our strategy makes use of known results on the controllability of spatially discretized semilinear parabolic equations. Both systems can be linked through time-rescaling
Keywords
Cite
@article{arxiv.1903.08465,
title = {A parabolic approach to the control of opinion spreading},
author = {Domènec Ruiz-Balet and Enrique Zuazua},
journal= {arXiv preprint arXiv:1903.08465},
year = {2022}
}