Second-order optimality conditions for the bilinear optimal control of a degenerate equation

Kenne, Cyrille; Djomegne, Landry; Zongo, Pascal

doi:10.1080/00036811.2023.2299714

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Applicable Analysis

2024

DOI: 10.1080/00036811.2023.2299714

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Second-order optimality conditions for the bilinear optimal control of a degenerate equation

Cyrille Kenne,

Landry Djomegne,

Pascal Zongo

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2024

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Bilinear optimal control of a one‐dimensional degenerate parabolic equation with a nonlocal term

Kenne,

Djomegne,

Larrouy

2024

Math Methods in App Sciences

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In this paper, a one‐dimensional degenerate parabolic equation involving a multiplicative control with a nonlocal space term represented by an integral kernel is considered. After some well‐posedness results, we derive several properties of the control‐to‐state mapping. We establish the existence of at least one optimal control and derive the first and the second conditions for optimality, giving the local uniqueness of an optimal control. Finally, we prove that we may expect the global uniqueness of the optimal control under additional assumptions.

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Bilinear optimal control of a one‐dimensional degenerate parabolic equation with a nonlocal term

Kenne,

Djomegne,

Larrouy

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

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Second-order optimality conditions for the bilinear optimal control of a degenerate equation

Cited by 1 publication

References 26 publications

Bilinear optimal control of a one‐dimensional degenerate parabolic equation with a nonlocal term

Bilinear optimal control of a one‐dimensional degenerate parabolic equation with a nonlocal term

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