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
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.
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.
BibTeX: Download