OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE

Abstract : 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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https://hal.archives-ouvertes.fr/hal-02093551
Contributor : Stève Cyrille Kenne <>
Submitted on : Tuesday, August 13, 2019 - 11:48:27 AM
Last modification on : Wednesday, August 14, 2019 - 1:06:27 AM

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Cyrille Kenne, Günter Leugering, Gisèle Mophou. OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE. 2019. ⟨hal-02093551v2⟩

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