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Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model

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  • Yacouba Simporé
  • Oumar Traoré

Abstract

We first prove a null controllability result for a nonlinear system derived from a nonlinear population dynamics model. In order to tackle the controllability problem we use an adapted Carleman inequality. Next we consider the nonlinear population dynamics model with a source term called the pollution term. In order to obtain information on the pollution term we use the method of sentinel.

Suggested Citation

  • Yacouba Simporé & Oumar Traoré, 2016. "Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-9, March.
    • Handle: RePEc:hin:jijmms:2820613
    DOI: 10.1155/2016/2820613
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    References listed on IDEAS

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    1. 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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    Cited by:

    1. Somdouda Sawadogo & Mifiamba Soma, 2019. "Boundary Null Controllability With Constrained Control for a Nonlinear Two Stroke System: Application to Boundary Sentinel and Identification of Parameters in a Nonlinear Population Dynamics Model," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(4), pages 51-68, August.

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