Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies
DOI10.3934/mcrf.2022052zbMath1525.92084arXiv2202.11545OpenAlexW4221138482MaRDI QIDQ6074829
B. Wembe, Bernard Bonnard, Jérémy Rouot
Publication date: 19 September 2023
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.11545
chemical reaction networksabnormal geodesicsZermelo navigation problemsregularity of the value functiontime minimal control for planar systems
Classical flows, reactions, etc. in chemistry (92E20) Optimality conditions for problems involving ordinary differential equations (49K15) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Related Items (2)
Cites Work
- On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
- Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob
- Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and applications
- Singular trajectories and their role in control theory
- The generic local structure of time-optimal synthesis with a target of codimension one in dimension greater than two
- Geometric Theory of Extremals in Optimal Control Problems: I. The Fold and Maxwell Case
- The High Order Maximal Principle and Its Application to Singular Extremals
- Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies