Partial stabilization of nonlinear systems along a given trajectory
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909271249125376 |
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| author | Grushkovskaya, Victoria Vasylieva, Iryna Zuyev, Alexander |
| author_facet | Grushkovskaya, Victoria Vasylieva, Iryna Zuyev, Alexander |
| contents | In this paper, the problem of partial stabilization of nonlinear systems along a given trajectory is considered. This problem is treated within the framework of stability of a family of sets. Sufficient conditions for the asymptotic stability of a one-parameter family of sets using time-dependent control in the form of trigonometric polynomials are derived. The obtained results are applied to a model mechanical system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04476 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Partial stabilization of nonlinear systems along a given trajectory Grushkovskaya, Victoria Vasylieva, Iryna Zuyev, Alexander Optimization and Control 93D15, 93D20, 93D05, 70K20 In this paper, the problem of partial stabilization of nonlinear systems along a given trajectory is considered. This problem is treated within the framework of stability of a family of sets. Sufficient conditions for the asymptotic stability of a one-parameter family of sets using time-dependent control in the form of trigonometric polynomials are derived. The obtained results are applied to a model mechanical system. |
| title | Partial stabilization of nonlinear systems along a given trajectory |
| topic | Optimization and Control 93D15, 93D20, 93D05, 70K20 |
| url | https://arxiv.org/abs/2311.04476 |