On hyperexponential stabilization of a chain of integrators in continuous and discrete time subject to unmatched perturbations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908657016373248 |
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| author | Labbadi, Moussa Efimov, Denis |
| author_facet | Labbadi, Moussa Efimov, Denis |
| contents | A recursive time-varying state feedback is presented for a chain of integrators with unmatched perturbations in continuous and discrete time. In continuous time, it is shown that hyperexponential convergence is achieved for the first state variable \(x_1\), while the second state \(x_2\) remains bounded. For the other states, we establish ISS {\cb property} by saturating the growing {\cb control} gain. In discrete time, we use implicit Euler discretization to {\cb preserve} hyperexponential convergence. The main results are demonstrated through several examples of the proposed control laws, illustrating the conditions established for both continuous and discrete-time systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On hyperexponential stabilization of a chain of integrators in continuous and discrete time subject to unmatched perturbations Labbadi, Moussa Efimov, Denis Systems and Control A recursive time-varying state feedback is presented for a chain of integrators with unmatched perturbations in continuous and discrete time. In continuous time, it is shown that hyperexponential convergence is achieved for the first state variable \(x_1\), while the second state \(x_2\) remains bounded. For the other states, we establish ISS {\cb property} by saturating the growing {\cb control} gain. In discrete time, we use implicit Euler discretization to {\cb preserve} hyperexponential convergence. The main results are demonstrated through several examples of the proposed control laws, illustrating the conditions established for both continuous and discrete-time systems. |
| title | On hyperexponential stabilization of a chain of integrators in continuous and discrete time subject to unmatched perturbations |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2511.12567 |