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Second-order conditions for spatio-temporally sparse optimal control via second subderivatives

Name: Second-order conditions for spatio-temporally sparse optimal control via second subderivatives
Keywords: Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 18 Dec 2024Embargo end date: 01 Jan 2023Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Journal of Nonsmooth Analysis and Optimization, volume Volume 5 (eissn: 2700-7448,

Authors: Nicolas Borchard; Gerd Wachsmuth;

doi: 10.46298/jnsao-2024-12604 , 10.48550/arxiv.2311.14538

arXiv: http://arxiv.org/abs/2311.14538

Second-order conditions for spatio-temporally sparse optimal control via second subderivatives

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Abstract

We address second-order optimality conditions for optimal control problems involving sparsity functionals which induce spatio-temporal sparsity patterns. We employ the notion of (weak) second subderivatives. With this approach, we are able to reproduce the results from Casas, Herzog, and Wachsmuth (ESAIM COCV, 23, 2017, p. 263-295). Our analysis yields a slight improvement of one of these results and also opens the door for the sensitivity analysis of this class of problems.

Related Organizations

Brandenburg University of Technology
Germany

Keywords

Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control

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