<div class="csl-bib-body">
<div class="csl-entry">Osmolovskii, N. P., & Veliov, V. (2023). On the Strong Subregularity of the Optimality Mapping in an Optimal Control Problem with Pointwise Inequality Control Constraints. <i>Applied Mathematics and Optimization</i>, <i>87</i>(3), Article 43. https://doi.org/10.1007/s00245-022-09959-9</div>
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dc.identifier.issn
0095-4616
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189336
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dc.description.abstract
This paper presents sufficient conditions for strong metric subregularity (SMsR) of the optimality mapping associated with the local Pontryagin maximum principle for Mayer-type optimal control problems with pointwise control constraints given by a finite number of inequalities Gj(u)≤0 . It is assumed that all data are twice smooth, and that at each feasible point the gradients Gj'(u) of the active constraints are linearly independent. The main result is that the second-order sufficient optimality condition for a weak local minimum is also sufficient for a version of the SMSR property, which involves two norms in the control space in order to deal with the so-called two-norm-discrepancy.
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dc.description.sponsorship
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.publisher
Springer Nature
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dc.relation.ispartof
Applied Mathematics and Optimization
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Control constraint
en
dc.subject
Mayer’s problem
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dc.subject
Optimal control
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dc.subject
Optimization
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dc.subject
metric subregularity
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dc.title
On the Strong Subregularity of the Optimality Mapping in an Optimal Control Problem with Pointwise Inequality Control Constraints
