Nicolas Borchard ; Gerd Wachsmuth - Second-order conditions for spatio-temporally sparse optimal control via second subderivatives

jnsao:12604 - Journal of Nonsmooth Analysis and Optimization, December 18, 2024, Volume 5 - https://doi.org/10.46298/jnsao-2024-12604
Second-order conditions for spatio-temporally sparse optimal control via second subderivativesArticle

Authors: Nicolas Borchard 1; Gerd Wachsmuth ORCID1

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.

https://doi.org/10.46298/jnsao-2024-12604
Source: arXiv.org:2311.14538
Volume: Volume 5
Section: Original research articles
Published on: December 18, 2024
Accepted on: November 15, 2024
Submitted on: November 28, 2023
Keywords: Mathematics - Optimization and Control

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