Integral gains for non-autonomous Wazewski systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866929756150169600 |
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| author | Atamas, Ivan Dashkovskiy, Sergey Slynko, Vitalii |
| author_facet | Atamas, Ivan Dashkovskiy, Sergey Slynko, Vitalii |
| contents | In this work we consider linear non-autonomous systems of Wazewski type on Hilbert spaces and provide a new approach to study their stability properties by means of a decomposition into subsystems and conditions implied on the interconnection properties. These conditions are of the small-gain type but the appoach is based on a conceptually new notion which we call integral gain. This notion is introduced for the first time in this paper. We compare our approach with known results from the literature and demonstrate advantages of our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09471 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integral gains for non-autonomous Wazewski systems Atamas, Ivan Dashkovskiy, Sergey Slynko, Vitalii Dynamical Systems In this work we consider linear non-autonomous systems of Wazewski type on Hilbert spaces and provide a new approach to study their stability properties by means of a decomposition into subsystems and conditions implied on the interconnection properties. These conditions are of the small-gain type but the appoach is based on a conceptually new notion which we call integral gain. This notion is introduced for the first time in this paper. We compare our approach with known results from the literature and demonstrate advantages of our results. |
| title | Integral gains for non-autonomous Wazewski systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2503.09471 |