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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

Author

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  • Somdouda Sawadogo
  • Mifiamba Soma

Abstract

We first prove a new controllability result for a nonlinear two stroke system. The key to solve this controllability problem is an adapted Carleman inequality. Next, the obtained result is used to build a boundary sentinel to identify unknown parameters in a nonlinear population dynamics model with incomplete data.

Suggested Citation

  • 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.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:4:p:51
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    References listed on IDEAS

    as
    1. 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.
    2. Bedr'eddine Ainseba & Sebastian Anita, 2001. "Local exact controllability of the age-dependent population dynamics with diffusion," Abstract and Applied Analysis, Hindawi, vol. 6, pages 1-12, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    population dynamics; optimal control; controllability; sentinel; Carleman inequality;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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