4 papers
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…
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…
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…
On the proof of Pontryagin's maximum principle by means of needle variations
Andrei Dmitruk, Nikolai Osmolovskii
We propose a proof of the maximum principle for the general Pontryagin type optimal control problem, based on packages of needle variations. The optimal control problem is first re…