Necessary optimality conditions for infinite dimensional state constrained control problems

DOI10.1016/j.jde.2018.02.012zbMath1390.49025OpenAlexW2791004733MaRDI QIDQ1708137

Marco Mazzola, Elsa M. Marchini, Hélène Frankowska

Publication date: 4 April 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.02.012

zbMATH Keywords

optimal controlmaximum principlestate constraintsnormalitysemilinear differential inclusion

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) PDEs in connection with control and optimization (35Q93)

Related Items (9)

Necessary optimality conditions for optimal control problems in Wasserstein spaces ⋮ Second-order Lagrange multiplier rules in multiobjective optimal control of infinite dimensional systems under state constraints and mixed pointwise constraints ⋮ Risk-neutral multiobjective optimal control of random Volterra integral equations ⋮ Regularity of multipliers for multiobjective optimal control problems governed by evolution equations ⋮ Differential inclusions in Wasserstein spaces: the Cauchy-Lipschitz framework ⋮ Finitely convergent iterative methods with overrelaxations revisited ⋮ First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints ⋮ Design of the monodomain model by artificial neural networks ⋮ Second-order necessary conditions in optimal control of evolution systems

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