Some remarks on the hierarchic control for coupled parabolic PDEs

DOI10.1007/978-3-319-97613-6_7zbMath1417.35215OpenAlexW2899333491MaRDI QIDQ2419462

Víctor Hernández-Santamaría, Luz de Teresa

Publication date: 13 June 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-97613-6_7

zbMATH Keywords

parabolic systemsCarleman inequalitiesStackelberg-Nash strategiescontrollabilty

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with control and optimization (35Q93) Initial-boundary value problems for second-order parabolic systems (35K51)

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Stackelberg-Nash controllability for a quasi-linear parabolic equation in dimension 1D, 2D, or 3D ⋮ Stackelberg-Nash controllability for \(N\)-dimensional nonlinear parabolic partial differential equations ⋮ Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions ⋮ Stackelberg-Nash null controllability for a non linear coupled degenerate parabolic equations ⋮ Insensitizing control problem for the Hirota-Satsuma system of KdV-KdV type ⋮ Some numerical results for control of 3D heat equations using Nash equilibrium ⋮ Some remarks on the robust Stackelberg controllability for the heat equation with controls on the boundary

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