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math.OC2024
Optimal control problem of evolution equation governed by hypergraph Laplacian
Takeshi Fukao, Masahiro Ikeda, Shun Uchida
In this paper, we consider an optimal control problem of an ordinary differential inclusion governed by the hypergraph Laplacian, which is defined as a subdifferential of a convex…
math.OC2024
Optimal control of gradient flows via the Weighted Energy-Dissipation method
Takeshi Fukao, Ulisse Stefanelli, Riccardo Voso
We consider a general optimal control problem in the setting of gradient flows. Two approximations of the problem are presented, both relying on the variational reformulation of gr…