A Parabolic Approach to the Control of Opinion Spreading

Ruiz-Balet D, Zuazua E (2019)


Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2019

Publisher: Springer

Edited Volumes: Applied Wave Mathematics II

Series: Mathematics of Planet Earth

Book Volume: 6

Pages Range: 343-363

ISBN: 978-3-030-29950-7

DOI: 10.1007/978-3-030-29951-4

Abstract

We analyse the problem of controlling to consensus a nonlinear system modelling 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 discretised semilinear parabolic equations. Both systems can be linked through time rescaling.

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How to cite

APA:

Ruiz-Balet, D., & Zuazua, E. (2019). A Parabolic Approach to the Control of Opinion Spreading. In Arkadi Berezovski, Tarmo Soomere (Eds.), Applied Wave Mathematics II. (pp. 343-363). Springer.

MLA:

Ruiz-Balet, Domènec, and Enrique Zuazua. "A Parabolic Approach to the Control of Opinion Spreading." Applied Wave Mathematics II. Ed. Arkadi Berezovski, Tarmo Soomere, Springer, 2019. 343-363.

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