Sensitivity analysis of optimization problems in Hilbert space with application to optimal control
type: Item
instance of: scholarly article
title: Sensitivity analysis of optimization problems in Hilbert space with application to optimal control
zbMATH Open document ID: 0682.49029
DOI: 10.1007/BF01445154
author: Kazimierz Malanowski
published in: Applied Mathematics and Optimization
publication date: 1990-01-01T00:00:00Z
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 49K27
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 46G05
zbMATH DE Number: 4117321
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: strong second-order sufficient condition
zbMATH Keywords: directionally differentiable functions
zbMATH Keywords: nonlinear ordinary differential equations
MaRDI profile type: Publication
cites work: Introduction to sensitivity and stability analysis in nonlinear programming
cites work: How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
cites work: Solution point differentiability without strict complementarity in nonlinear programming
cites work: Differential stability in infinite-dimensional nonlinear programming
cites work: Q4185385
cites work: Differential stability of solutions to convex, control constrained optimal control problems
cites work: Stability and sensitivity of solutions to optimal control problems for systems with control appearing linearly
cites work: Stability of solutions to convex problems of optimization
cites work: Q4204708
cites work: Sensitivity of solutions to convex control constrained optimal control problems for distributed parameter systems
cites work: Differential stability in optimal control problems
cites work: First and second order sufficient optimality conditions in mathematical programming and optimal control
cites work: First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
cites work: Contrôle dans les inéquations variationelles elliptiques
cites work: Q3931986
cites work: Strongly Regular Generalized Equations
cites work: Directional differentiability of the optimal value function in a nonlinear programming problem
cites work: Second order sensitivity analysis and asymptotic theory of parametrized nonlinear programs
cites work: Differential stability of solutions to constrained optimization problems
cites work: Sensitivity Analysis of Control Constrained Optimal Control Problems for Distributed Parameter Systems
cites work: Shape Sensitivity Analysis of Boundary Optimal Control Problems for Parabolic Systems
cites work: Projection on a Cone, Penalty Functionals and Duality Theory for Problems with Inequaltity Constraints in Hilbert Space
full work available at URL: https://doi.org/10.1007/bf01445154
OpenAlex ID: W2012267535
Recommended article: Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
Recommended article: Q3359307
Recommended article: Sensitivity analysis of hyperbolic optimal control problems
Recommended article: Q4711100
Recommended article: Q3137514
Recommended article: Sensitivity Analysis of Optimal Control Problems Described by Differential Hemivariational Inequalities
Recommended article: Q5146221
Recommended article: Q3830884
Recommended article: On sensitivity in optimal control problems
Recommended article: Sensitivity analysis for optimal control of problems governed by semilinear parabolic equations
description: scientific article; zbMATH DE number 4117321