Optimal Control of a Population Dynamics Model with Missing Birth Rate | Zendy

Cyrille Kenne | Zendy; Günter Leugering | Zendy; Gisèle Mophou | Zendy

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Optimal Control of a Population Dynamics Model with Missing Birth Rate

Author(s) -

Cyrille Kenne,

Günter Leugering,

Gisèle Mophou

Publication year - 2020

Publication title -

siam journal on control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.486

H-Index - 116

eISSN - 1095-7138

pISSN - 0363-0129

DOI - 10.1137/19m125875x

Subject(s) - regret , optimal control , control (management) , birth control , dynamics (music) , population , mathematics , control theory (sociology) , mathematical economics , computer science , mathematical optimization , statistics , demography , artificial intelligence , psychology , sociology , research methodology , pedagogy , family planning

We consider a model of population dynamics with age dependence and spatial structure but unknown birth rate. Using the notion of Low-regret, we prove that we can bring the state of the system to desired state by acting on the system via a distributed control. Actually, we give the optimality systems that characterize the Low-regret control. Then we prove using an appropriate Hilbert space that the Low-regret control which is a family of controls tends to a control called No-regret control that we characterize.

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