Strong chain control sets and affine control systems
- For control-affine systems on non-compact manifolds, the notion of strong chain control sets is introduced and related to the strong chain transitivity of the associated control flows. Affine control systems on Rn are embedded into bilinear control systems in an extended state space and it is shown that they are topologically conjugate to the induced system on the northern hemisphere of the Poincaré sphere. This preserves strong chain control sets. Further chain controllability properties on spheres are analyzed.
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| Author: | Fritz ColoniusORCiDGND, Alexandre J. Santana |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1185406 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/118540 |
| ISSN: | 0022-0396OPAC |
| Parent Title (English): | Journal of Differential Equations |
| Publisher: | Elsevier BV |
| Place of publication: | Amsterdam |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2025 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/01/27 |
| Volume: | 424 |
| First Page: | 760 |
| Last Page: | 791 |
| DOI: | https://doi.org/10.1016/j.jde.2025.01.069 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehr- und Forschungseinheit Angewandte Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
