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

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  • Mohamed A. Sana
  • Somdouda Sawadogo
  • Sadou Tao

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.

Suggested Citation

  • Mohamed A. Sana & Somdouda Sawadogo & Sadou Tao, 2022. "Optimal Control for a Degenerate Population Model in Divergence Form With Incomplete Data," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(4), pages 1-65, November.
    • Handle: RePEc:ibn:jmrjnl:v:14:y:2022:i:4:p:65
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    References listed on IDEAS

    as
    1. Yuan He & Bedr’Eddine Ainseba, 2013. "Exact Null Controllability of a Stage and Age-Structured Population Dynamics System," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 918-933, June.
    2. Oumar Traore, 2006. "Null controllability of a nonlinear population dynamics problem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-20, December.
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    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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