Greedy optimal control for elliptic problems and its application to turnpike problems

DOI10.1007/s00211-018-1005-zzbMath1408.49018OpenAlexW2899059679WikidataQ129020021 ScholiaQ129020021MaRDI QIDQ1719565

Víctor Hernández-Santamaría, Enrique Zuazua, Martin Lazar

Publication date: 8 February 2019

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10486/690199

zbMATH Keywords

optimal approximationparabolic optimal control problemsparameterized elliptic control problems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Control/observation systems governed by partial differential equations (93C20) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Linear optimal control problems (49N05)

Related Items (8)

Turnpike in optimal control of PDEs, ResNets, and beyond ⋮ Optimal control problems without terminal constraints: the turnpike property with interior decay ⋮ Uniform turnpike property and singular limits ⋮ Greedy algorithm for parameter dependent operator Lyapunov equations ⋮ Approximations to problems of optimal control of leading coefficients of elliptic equations in nondivergence form with an unbounded nonlinearity in the coefficients ⋮ The turnpike property in semilinear control ⋮ Exponential Turnpike property for fractional parabolic equations with non-zero exterior data ⋮ The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term

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