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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.08903 |
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| _version_ | 1866912891349762048 |
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| author | Labbadi, Moussa Polyakov, Andrey Efimov, Denis |
| author_facet | Labbadi, Moussa Polyakov, Andrey Efimov, Denis |
| contents | This paper addresses the problem of exponential and accelerated finite-time, as well as nearly fixed-time, stabilization of switched linear MIMO systems. The proposed approach relies on a generalized homogenization framework for switched linear systems and employs implicit Lyapunov functions for control design, covering both common and multiple Lyapunov function settings. Linear matrix equations and inequalities are derived to characterize the dilation generator and to synthesize the controller gains. Robustness of the resulting control laws with respect to system uncertainties and external disturbances is analyzed. The effectiveness of the proposed approach is illustrated through numerical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08903 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Accelerated Stabilization of Switched Linear MIMO Systems using Generalized Homogeneity Labbadi, Moussa Polyakov, Andrey Efimov, Denis Systems and Control Optimization and Control This paper addresses the problem of exponential and accelerated finite-time, as well as nearly fixed-time, stabilization of switched linear MIMO systems. The proposed approach relies on a generalized homogenization framework for switched linear systems and employs implicit Lyapunov functions for control design, covering both common and multiple Lyapunov function settings. Linear matrix equations and inequalities are derived to characterize the dilation generator and to synthesize the controller gains. Robustness of the resulting control laws with respect to system uncertainties and external disturbances is analyzed. The effectiveness of the proposed approach is illustrated through numerical examples. |
| title | Accelerated Stabilization of Switched Linear MIMO Systems using Generalized Homogeneity |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2602.08903 |