Equivalence of three kinds of optimal control problems for linear heat equations with memory
ESAIM: Control, Optimisation and Calculus of Variations, Tome 28 (2022), article no. 73

This paper studies an equivalence theorem for three different kinds of optimal control problems, which are optimal time control problems, optimal norm control problems, and optimal target control problems. The controlled systems in this paper are internally controlled linear heat equations with memory.

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DOI : 10.1051/cocv/2022072
Classification : 35K05, 49J20, 93C20
Keywords: Equivalence of optimal controls, optimal target, optimal time, optimal norm, heat equation with memory 
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     author = {Wang, Lijuan and Zhou, Xiuxiang},
     title = {Equivalence of three kinds of optimal control problems for linear heat equations with memory},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     year = {2022},
     publisher = {EDP-Sciences},
     volume = {28},
     doi = {10.1051/cocv/2022072},
     mrnumber = {4524417},
     zbl = {1506.35251},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/cocv/2022072/}
}
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Wang, Lijuan; Zhou, Xiuxiang. Equivalence of three kinds of optimal control problems for linear heat equations with memory. ESAIM: Control, Optimisation and Calculus of Variations, Tome 28 (2022), article no. 73. doi: 10.1051/cocv/2022072

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