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

https://doi.org/10.1007/bf01445154
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01442186openalex-snapshot
Stability and sensitivity of solutions to optimal control problems for systems with control appearing linearly
inferredcites →https://doi.org/10.1007/bf01442559openalex-snapshot
Differential stability in optimal control problems
inferredcites →https://doi.org/10.1007/bf01442889openalex-snapshot
Differential stability in infinite-dimensional nonlinear programming
inferredcites →https://doi.org/10.1007/bf01449030openalex-snapshot
Differential stability of solutions to convex, control constrained optimal control problems
inferredcites →https://doi.org/10.1007/bf01582096openalex-snapshot
First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
inferredcites →https://doi.org/10.1007/bf01584378openalex-snapshot
Second order sensitivity analysis and asymptotic theory of parametrized nonlinear programs
inferredcites →https://doi.org/10.1007/bfb0005663openalex-snapshot
Differential stability of control constrained optimal control problems for distributed parameter systems
inferredcites →https://doi.org/10.1007/bfb0006504openalex-snapshot
Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
inferredcites →https://doi.org/10.1007/bfb0039570openalex-snapshot
Stability of Solutions to Convex Problems of Optimization
inferredcites →https://doi.org/10.1007/bfb0120927openalex-snapshot
First and second order sufficient optimality conditions in mathematical programming and optimal control
inferredcites →https://doi.org/10.1007/bfb0120985openalex-snapshot
Refinements of necessary optimality conditions in nondifferentiable programming II
inferredcites →https://doi.org/10.1007/bfb0121215openalex-snapshot
Solution point differentiability without strict complementarity in nonlinear programming
inferredcites →https://doi.org/10.1007/bfb0121219openalex-snapshot
Directional differentiability of the optimal value function in a nonlinear programming problem
inferredcites →https://doi.org/10.1016/0022-1236(76)90017-3openalex-snapshot
Contrôle dans les inéquations variationelles elliptiques
inferredcites →https://doi.org/10.1016/0022-247x(86)90213-1openalex-snapshot
Sensitivity of solutions to convex, control constrained optimal control problems for distributed parameter systems
inferredcites →https://doi.org/10.1016/s0076-5392(08)x6041-2openalex-snapshot
Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
inferredcites →https://doi.org/10.1109/tac.1968.1098847openalex-snapshot
Foundations of optimal control theory
inferredcites →https://doi.org/10.1137/0315003openalex-snapshot
Projection on a Cone, Penalty Functionals and Duality Theory for Problems with Inequaltity Constraints in Hilbert Space
inferredcites →https://doi.org/10.1137/0325085openalex-snapshot
Sensitivity Analysis of Control Constrained Optimal Control Problems for Distributed Parameter Systems
inferredcites →https://doi.org/10.1137/0326045openalex-snapshot
Shape Sensitivity Analysis of Boundary Optimal Control Problems for Parabolic Systems
inferredcites →https://doi.org/10.1287/moor.5.1.43openalex-snapshot
Strongly Regular Generalized Equations
inferredcites →https://doi.org/10.2307/2343766openalex-snapshot
Foundations of Optimal Control Theory.
inferredcites →https://doi.org/10.2969/jmsj/02940615openalex-snapshot
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Sensitivity Reduction and Robustness
inferred← citeshttps://doi.org/10.1007/bf00248267openalex-snapshot
Sensitivity analysis for parametric control problems with control-state constraints
inferred← citeshttps://doi.org/10.1007/bf01184156openalex-snapshot
Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces
inferred← citeshttps://doi.org/10.1007/bf02192081openalex-snapshot
Solution differentiability for parametric nonlinear control problems with control-state constraints
inferred← citeshttps://doi.org/10.1016/0022-0396(92)90133-8openalex-snapshot
Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
inferred← citeshttps://doi.org/10.1016/0377-0427(92)90207-eopenalex-snapshot
Iterative aggregation method for constrained optimal control problems
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00062-6openalex-snapshot
A two-level decomposition-aggregation approach for large-scale optimal control problems
inferred← citeshttps://doi.org/10.1016/s0893-9659(98)00113-xopenalex-snapshot
Directional Lipschitzian optimal solution of infinite-dimensional optimization problems
inferred← citeshttps://doi.org/10.1051/cocv/2017070openalex-snapshot
Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity
inferred← citeshttps://doi.org/10.1070/sm1995v082n01abeh003552openalex-snapshot
THEOREMS ON THE EXISTENCE OF AN IMPLICIT FUNCTION IN THE THEORY OF NECESSARY AND SUFFICIENT CONDITIONS FOR AN EXTREMUM
inferred← citeshttps://doi.org/10.1080/01630569208816463openalex-snapshot
Perturbation analysis of optimization problems in banach spaces
inferred← citeshttps://doi.org/10.1080/02331939108843647openalex-snapshot
Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal control
inferred← citeshttps://doi.org/10.1081/nfa-100108318openalex-snapshot
BOULIGAND DIFFERENTIABILITY OF SOLUTIONS TO PARAMETRIC OPTIMAL CONTROL PROBLEMS *
inferred← citeshttps://doi.org/10.1109/cdc.1998.758679openalex-snapshot
On L/sup 2/ sufficient conditions for end-constrained optimal control problems with inputs in a polyhedron
inferred← citeshttps://doi.org/10.1137/0804001openalex-snapshot
On Sensitivity Analysis of Nonlinear Programs in Banach Spaces: The Approach via Composite Unconstrained Optimization
inferred← citeshttps://doi.org/10.1137/s0363012992232269openalex-snapshot
Solution Differentiability for Nonlinear Parametric Control Problems
inferred← citeshttps://doi.org/10.1137/s036301299224031xopenalex-snapshot
Second-Order Optimality Conditions in Sets of ${\text{L}}^\infty $ Functions with Range in a Polyhedron
inferred← citeshttps://doi.org/10.1137/s0363012994266127openalex-snapshot
On ${\text{L}}^2 $ Sufficient Conditions and the Gradient Projection Method for Optimal Control Problems
inferred← citeshttps://doi.org/10.1287/moor.19.3.753openalex-snapshot
Implicit Functions, Lipschitz Maps, and Stability in Optimization
inferred← citeshttps://doi.org/10.1515/9783110883237.2289openalex-snapshot
Implicit functions defined by generalized equations
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