Second-order conditions for non-uniformly convex integrands: quadratic growth in L^1
- We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The integral functional is extended to the space of measures. The obtained second-order derivatives contain integrals on lower-dimensional manifolds. The proofs utilize the convex pre-conjugate, which is an integral functional on the space of continuous functions. Application to non-smooth optimal control problems are given.
Author: | Daniel WachsmuthORCiD, Gerd WachsmuthORCiD |
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URL: | https://arxiv.org/pdf/2111.10238.pdf |
Title of the source (English): | arXiv |
Document Type: | Scientific journal article not peer-reviewed |
Language: | English |
Year of publication: | 2021 |
Tag: | Second-order optimality conditions; bang-bang control; sparse control; twice epi-differentiability |
Number of pages: | 40 |
Faculty/Chair: | Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Optimale Steuerung |