Optimal Control for a Degenerate Population Model in Divergence Form With Incomplete Data

Mohamed A. Sana, Somdouda Sawadogo and Sadou Tao

Journal of Mathematics Research, 2022, vol. 14, issue 4, 65

Abstract: In this paper, we study the control of a degenerate population dynamics system in divergence form with unknown information on the boundary. We use the no-regret control concept of J. L. Lions treated in (Lions, 1992) to investigate the problem. At first, we define notions of no-regret control. Using an appropriate Hilbert space, we show that the no-regret control is the limit near the origin of a series of low-regret controls defined by a quadratic perturbation previously used by (Nakoulima, Omrane, & Velin, 2000) corresponding to the disturbed system and for which we give a singular optimality system.

Date: 2022
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