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arXiv · 1903.08465

A parabolic approach to the control of opinion spreading

Domènec Ruiz-Balet·Enrique Zuazua
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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

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Domènec Ruiz-Balet, Enrique Zuazua. 2019-03-20. A parabolic approach to the control of opinion spreading. https://doi.org/10.1007/978-3-030-29951-4_15

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