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math.OC2024
Strong Metric Subregularity of the optimality mapping and second-order sufficient optimality conditions in extremal problems with constraints
Nikolai P. Osmolovskii, Vladimir M. Veliov
This is a review paper, summarizing without proofs recent results by the authors on the property of strong metric subregularity (SMSR) in optimization. It presents sufficient condi…
math.OC2024
Strong metric (sub)regularity in optimal control
Nicolai A. Jork, Nikolai P. Osmolovskii, Vladimir M. Veliov
This is mainly a survey on the properties of Strong Metric Regularity (SMR) and Strong Metric subRegularity (SMsR) of mappings representing first order optimality conditions (so-ca…
math.OC2022
Local Minimum Principle for an Optimal Control Problem with a Nonregular Mixed Constraint
A. V. Dmitruk, N. P. Osmolovskii
We consider the simplest optimal control problem with one nonregular mixed inequality constraint, i.e. when its gradient in the control can vanish on the zero surface. Using the Du…