Sensitivity analysis of optimization problems in Hilbert space with application to optimal control

DOI10.1007/BF01445154zbMath0682.49029OpenAlexW2012267535MaRDI QIDQ1824198

Kazimierz Malanowski

Publication date: 1990

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01445154

zbMATH Keywords

Lagrange multipliersnonlinear ordinary differential equationsstrong second-order sufficient conditiondirectionally differentiable functions

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonsmooth analysis (49J52) Optimality conditions for problems involving ordinary differential equations (49K15) Derivatives of functions in infinite-dimensional spaces (46G05) Optimality conditions for problems in abstract spaces (49K27)

Related Items (11)

A two-level decomposition-aggregation approach for large-scale optimal control problems ⋮ Solution differentiability for parametric nonlinear control problems with control-state constraints ⋮ Sensitivity analysis for parametric control problems with control-state constraints ⋮ Perturbation analysis of optimization problems in banach spaces ⋮ Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity ⋮ Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces ⋮ Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation ⋮ Iterative aggregation method for constrained optimal control problems ⋮ BOULIGAND DIFFERENTIABILITY OF SOLUTIONS TO PARAMETRIC OPTIMAL CONTROL PROBLEMS^* ⋮ Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal control ⋮ Directional Lipschitzian optimal solution of infinite-dimensional optimization problems

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