Global controllability properties of linear control systems
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912357694832640 |
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| author | Colonius, Fritz Santana, Alexandre J. |
| author_facet | Colonius, Fritz Santana, Alexandre J. |
| contents | For linear control systems with bounded control range, the state space is compactified using the Poincaré sphere. The linearization of the induced control flow allows the construction of invariant manifolds on the sphere and of corresponding manifolds in the state space of the linear control system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01063 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global controllability properties of linear control systems Colonius, Fritz Santana, Alexandre J. Optimization and Control Dynamical Systems 93B05, 93C05, 37B20 For linear control systems with bounded control range, the state space is compactified using the Poincaré sphere. The linearization of the induced control flow allows the construction of invariant manifolds on the sphere and of corresponding manifolds in the state space of the linear control system. |
| title | Global controllability properties of linear control systems |
| topic | Optimization and Control Dynamical Systems 93B05, 93C05, 37B20 |
| url | https://arxiv.org/abs/2505.01063 |