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@article{faucris.239274856,
abstract = {We consider a model of population dynamics with age dependence and spatial structure but unknown birth rate. Using the notion of low-regret [J.-L. Lions, C. R. Acad. ScI. Paris Sér. I Math., 315 (1992), pp. 1253-1257], we prove that we can bring the state of the system to a desired state by acting on the system via a localized distributed control. We provide the optimality systems that characterize the low-regret control. Moreover, using an appropriate Hilbert space, we prove that the family of low-regret controls tends to a so-called no-regret control, which we, in turn, characterize.},
author = {Kenne, Cyrille and Leugering, Günter and Mophou, Gisèle},
doi = {10.1137/19M125875X},
faupublication = {yes},
journal = {SIAM Journal on Control and Optimization},
keywords = {Euler-Lagrange formula; Incomplete data; Low-regret control; No-regret control; Optimal control; Population dynamics},
note = {CRIS-Team Scopus Importer:2020-06-16},
pages = {1289-1313},
peerreviewed = {Yes},
title = {{Optimal} control of a population dynamics model with missing birth rate},
volume = {58},
year = {2020}
}