Work

Strong Metric (Sub)Regularity in Optimal Control

Year: 2025

Type: article

Abstract: 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-called optimality mappings) of optimization problems in infinite dimensional spaces. The focus is on the optimality mappings associated with optimal control problems for ODE systems or PDEs. We especially emphasize an extension of the concepts of SMR and SMsR which involves two metrics either in the domain or in the image spaces. The paper shows the relevance of this extension in optimal control.

Source: Journal of convex analysis

DOI: 10.68381/jca32019

Authors: Nicolai A. Jork, Nikolai P. Osmolovskii, Vladimir M. Veliov

Institutions: University of Tübingen, Systems Research Institute, Polish Academy of Sciences, TU Wien

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: European Commission, Austrian Science Fund

Awards: G2566934999, G4188552653