Mean-Field Selective Optimal Control via Transient Leadership.
Leader-follower dynamics
Mean-field optimal control
Population dynamics
Selective control
Superposition principle
Journal
Applied mathematics and optimization
ISSN: 0095-4616
Titre abrégé: Appl Math Optim
Pays: United States
ID NLM: 9875919
Informations de publication
Date de publication:
2022
2022
Historique:
accepted:
21
12
2021
entrez:
10
5
2022
pubmed:
11
5
2022
medline:
11
5
2022
Statut:
ppublish
Résumé
A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position and their probability of belonging to a certain population. The dynamics in the control problem is characterized by the presence of an activation function which tunes the control on each agent according to the membership to a population, which, in turn, evolves according to a Markov-type jump process. In this way, a hypothetical policy maker can select a restricted pool of agents to act upon based, for instance, on their time-dependent influence on the rest of the population. A finite-particle control problem is studied and its mean-field limit is identified via
Identifiants
pubmed: 35535172
doi: 10.1007/s00245-022-09837-4
pii: 9837
pmc: PMC9018672
doi:
Types de publication
Journal Article
Langues
eng
Pagination
9Informations de copyright
© The Author(s) 2022.
Déclaration de conflit d'intérêts
Conflict of interestThe authors have not disclosed any competing interests.
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