Control Sets for Bilinear and Affine Systems
| Autor: | Fritz Colonius, Juliana Setti, Alexandre J. Santana |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Control and Optimization Applied Mathematics Bilinear interpolation Diophantine approximation Control and Systems Engineering Rank condition Optimization and Control (math.OC) Signal Processing Lie algebra FOS: Mathematics Projective space Affine transformation ddc:510 93B05 34H05 11D04 Control (linguistics) Constant (mathematics) Mathematics - Optimization and Control Mathematics |
| DOI: | 10.48550/arxiv.2106.01204 |
| Popis: | For homogeneous bilinear control systems, the control sets are characterized using a Lie algebra rank condition for the induced systems on projective space. This is based on a classical Diophantine approximation result. For affine control systems, the control sets around the equilibria for constant controls are characterized with particular attention to the question when the control sets are unbounded. Comment: 28 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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