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Control of Stackelberg for Coupled Parabolic Equations

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Abstract

We consider the Stackelberg problem for coupled parabolic equations with a finite number of constraints on one of the states. This notion assumes that we have two controls to determine. The first control is supposed to bring the solution of the coupled system subjected to a finite number of constraints at rest at time zero while the second expresses that the states do not move too far from given states. The results are achieved by means of an observability inequality of Carleman adapted to the constraints.

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Acknowledgments

The authors would like to express their gratitude to the unknown referee for helpful advice. His many helpful comments have led to improvement the manuscript.

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Authors and Affiliations

  1. Département de Sciences Exactes, Institut Des Sciences, 01 BP 1757, Ouagadougou 01, Burkina Faso

    Moumini Kéré

  2. Laboratoire MAINEGE, Université Ouaga 3S, 06 BP, 10347, Ouagadougou 06, Burkina Faso

    Moumini Kéré & Gisèle Mophou

  3. Laboratoire LAMIA, Université des Antilles, Campus Fouillole, 97159, Pointe-à-Pitre, Guadeloupe

    Michelle Mercan & Gisèle Mophou

Authors
  1. Moumini Kéré
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  2. Michelle Mercan
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  3. Gisèle Mophou
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Correspondence to Moumini Kéré.

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Kéré, M., Mercan, M. & Mophou, G. Control of Stackelberg for Coupled Parabolic Equations. J Dyn Control Syst 23, 709–733 (2017). https://doi.org/10.1007/s10883-016-9354-3

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  • DOI: https://doi.org/10.1007/s10883-016-9354-3

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