OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE - Archive ouverte HAL
Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2020

OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE

Résumé

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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Dates et versions

hal-02093551 , version 3 (11-08-2020)

Identifiants

  • HAL Id : hal-02093551 , version 3

Citer

Cyrille Kenne, Günter Leugering, Gisèle Mophou. OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE. SIAM Journal on Control and Optimization, In press. ⟨hal-02093551⟩
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