Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.12567 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908657016373248 |
|---|---|
| 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 |