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Chapitre D'ouvrage Année : 2021

Optimal Control of Averaged State of a Population Dynamics Model

Résumé

In this article, we study the average control of a population dynamic model with age dependence and spatial structure in a bounded domain Ω ⊂ R 3. We assume that we can act on the system via a control in a sub-domain ω of Ω. We prove that we can bring the average of the state of our model at time t = T to a desired state. By means of Euler-Lagrange first order optimality condition, we expressed the optimal control in terms of average of an appropriate adjoint state that we characterize by an optimality system.
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Dates et versions

hal-03410877 , version 1 (01-11-2021)

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Citer

Cyrille Kenne, Boniface Nkemzi. Optimal Control of Averaged State of a Population Dynamics Model. Studies in Evolution Equations and Related Topics, Springer International Publishing, pp.113-127, 2021, STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, ⟨10.1007/978-3-030-77704-3_6⟩. ⟨hal-03410877⟩
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