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Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces

https://doi.org/10.1007/bf01184156
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What this work says

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

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Stability and sensitivity of solutions to optimal control problems for systems with control appearing linearly
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Differential stability in infinite-dimensional nonlinear programming
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Sensitivity analysis of optimization problems in Hilbert space with application to optimal control
inferredcites →https://doi.org/10.1007/bf01445157openalex-snapshot
Stability of solutions to control constrained nonlinear optimal control problems
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First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
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Differential stability of control constrained optimal control problems for distributed parameter systems
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Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
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Stability of Solutions to Convex Problems of Optimization
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Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems
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First and second order sufficient optimality conditions in mathematical programming and optimal control
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Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
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Solution point differentiability without strict complementarity in nonlinear programming
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Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
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Contrôle dans les inéquations variationelles elliptiques
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Mathematical programming with data perturbations II
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Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
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Stability of solutions for a class of nonlinear cone constrained optimization problems, part 1: Basic theory
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Foundations of optimal control theory
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Projection on a Cone, Penalty Functionals and Duality Theory for Problems with Inequaltity Constraints in Hilbert Space
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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
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Strongly Regular Generalized Equations
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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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Nondifferentiable Optimization: Parametric Programming
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