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| HAL : hal-00675241, version 1 |
| DOI : 10.1109/TAC.2011.2179876 |
| Fiche détaillée |  Récupérer au format |
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| IEEE Transactions on Automatic Control 57, 8 (2012) 2116-2121 |
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| Stability analysis of singularly perturbed switched linear systems |
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| Fouad El Hachemi 1Mario Sigalotti 2, 3 |
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| CORIDA Collaboration(s) |
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| (08/2012) |
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| This paper is concerned with the stability of planar linear singularly perturbed switched systems. We propose a characterization of the stability properties of such multiple time scale switched systems as the perturbation parameter goes to zero. We also study transitions as this parameter varies and we restrict their number and nature. Finally, we compare the results obtained in this way with the Tikhonov-type results for differential inclusions available in the literature. |
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| 1 : | Centre de Recherche en Automatique de Nancy (CRAN) |
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CNRS : UMR7039 – Université de Lorraine |
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| 2 : | CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) |
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INRIA – CNRS : UMR7502 – Université de Lorraine |
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| 3 : | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
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| Equations aux dérivées partielles |
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| Domaine | : | Sciences de l'ingénieur/Automatique / Robotique |
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| Singular perturbation – asymptotic stability – switched system |
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| hal-00675241, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00675241 | |
| oai:hal.archives-ouvertes.fr:hal-00675241 | |
| Contributeur : Jamal Daafouz | |
| Soumis le : Mercredi 29 Février 2012, 14:56:13 | |
| Dernière modification le : Vendredi 28 Septembre 2012, 21:37:44 | |
