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Low-Regret Control of a Nonlinear Hyperbolic Problem With Missing Data

Author

Listed:
  • Biéliémi LAMIEN
  • Sadou TAO
  • Satafa SANOGO

Abstract

In this paper, we characterise the control of an ill-posed nonlinear evolution problem. More precisely, we study the low-regret control of a system governed by a hyperbolic operator by using the regularisation approach, which makes it possible to generate missing data. We obtain singular optimal systems characterising the low-regret control and the no-regret control of the hyperbolic problem.

Suggested Citation

  • Biéliémi LAMIEN & Sadou TAO & Satafa SANOGO, 2026. "Low-Regret Control of a Nonlinear Hyperbolic Problem With Missing Data," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 18(1), pages 1-37, April.
    • Handle: RePEc:ibn:jmrjnl:v:18:y:2026:i:1:p:37
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    JEL classification:

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

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