A linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness.
In this paper, we investigate ultimate boundedness of large-scale arrays consisting of piecewise affine (PWA) sub-systems linearly interconnected through channels with delays. Under an assumption on subsystem dynamics, it is shown that ultimate boundedness can be reduced to the stability of a linear...
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| Formatua: | Conference item |
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IEEE
2011
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| _version_ | 1826275465325707264 |
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| author | Kashima, K Papachristodoulou, A Allgöwer, F |
| author_facet | Kashima, K Papachristodoulou, A Allgöwer, F |
| author_sort | Kashima, K |
| collection | OXFORD |
| description | In this paper, we investigate ultimate boundedness of large-scale arrays consisting of piecewise affine (PWA) sub-systems linearly interconnected through channels with delays. Under an assumption on subsystem dynamics, it is shown that ultimate boundedness can be reduced to the stability of a linear delay differential system. This enables us to use linear multi-agent system theory. As a result, we obtain sufficient conditions for ultimate boundedness taking the robustness of the interconnection topology into account. The usefulness of the results is examined through its application to the FitzHugh-Nagumo model. © 2011 IEEE. |
| first_indexed | 2024-03-06T22:59:07Z |
| format | Conference item |
| id | oxford-uuid:617415cd-1108-46aa-83b5-309033728ad6 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:59:07Z |
| publishDate | 2011 |
| publisher | IEEE |
| record_format | dspace |
| spelling | oxford-uuid:617415cd-1108-46aa-83b5-309033728ad62022-03-26T18:00:24ZA linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness.Conference itemhttp://purl.org/coar/resource_type/c_5794uuid:617415cd-1108-46aa-83b5-309033728ad6Symplectic Elements at OxfordIEEE2011Kashima, KPapachristodoulou, AAllgöwer, FIn this paper, we investigate ultimate boundedness of large-scale arrays consisting of piecewise affine (PWA) sub-systems linearly interconnected through channels with delays. Under an assumption on subsystem dynamics, it is shown that ultimate boundedness can be reduced to the stability of a linear delay differential system. This enables us to use linear multi-agent system theory. As a result, we obtain sufficient conditions for ultimate boundedness taking the robustness of the interconnection topology into account. The usefulness of the results is examined through its application to the FitzHugh-Nagumo model. © 2011 IEEE. |
| spellingShingle | Kashima, K Papachristodoulou, A Allgöwer, F A linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness. |
| title | A linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness. |
| title_full | A linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness. |
| title_fullStr | A linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness. |
| title_full_unstemmed | A linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness. |
| title_short | A linear multi-agent systems approach to diffusively coupled piecewise affine systems: Delay robustness. |
| title_sort | linear multi agent systems approach to diffusively coupled piecewise affine systems delay robustness |
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