Publications in Scientific Journals:
N. Osmolovskii, V.M. Veliov:
"On the strong subregularity of the optimality mapping in mathematical programming and calculus of variations";
Research Reports (Vienna University of Technology, Institute of Statistics and Mathematical Methods in Economics, Operations Research and Control Systems),
2020-12
(2020),
12;
26 pages.
English abstract:
The paper presents sufficient conditions for a strong metric subregularity (SMSr) propertyof the optimality mapping associated with the Pontryagin local maximum principle for aMayer´s type optimal control problem with general initial/terminal constraints for the statevariable and unconstrained control. This SMSr property is adapted to the involvement oftwo norms in the basic assumptions: smoothness, constraint qualification, and strong secondorder sufficient optimality conditions. The proofs are based on a new abstract result for strongmetric subregularity (in a two-norms setting) of the Karush-Kuhn-Tucker optimality mappingfor a mathematical programming problem in a Banach space, also presented in the paper.
Keywords:
optimization, mathematical programming, optimal control, Mayer´s problem, metric subregularity
Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_289938.pdf
Created from the Publication Database of the Vienna University of Technology.