Inferring Global Exponential Stability Properties using Lie-bracket Approximations
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916384559071232 |
|---|---|
| author | Weber, Marc Gharesifard, Bahman Ebenbauer, Christian |
| author_facet | Weber, Marc Gharesifard, Bahman Ebenbauer, Christian |
| contents | In the present paper, a novel result for inferring uniform global, not semi-global, exponential stability in the sense of Lyapunov with respect to input-affine systems from global uniform exponential stability properties with respect to their associated Lie-bracket systems is shown. The result is applied to adapt dither frequencies to find a sufficiently high gain in adaptive control of linear unknown systems, and a simple numerical example is simulated to support the theoretical findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03871 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inferring Global Exponential Stability Properties using Lie-bracket Approximations Weber, Marc Gharesifard, Bahman Ebenbauer, Christian Optimization and Control Systems and Control In the present paper, a novel result for inferring uniform global, not semi-global, exponential stability in the sense of Lyapunov with respect to input-affine systems from global uniform exponential stability properties with respect to their associated Lie-bracket systems is shown. The result is applied to adapt dither frequencies to find a sufficiently high gain in adaptive control of linear unknown systems, and a simple numerical example is simulated to support the theoretical findings. |
| title | Inferring Global Exponential Stability Properties using Lie-bracket Approximations |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2409.03871 |