Verification of ISS,iISS and IOSS properties applying weighted homogeneity |
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| Authors: | Emmanuel Bernuau Andrey Polyakov Denis Efimov Wilfrid Perruquetti |
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| Affiliation: | 1. LAGIS UMR 8219, Université Lille Nord de France, Ecole Centrale de Lille, Avenue Paul Langevin, BP 48, 59651 Villeneuve d’Ascq, France;2. Inria Lille, Parc Scientifique de la Haute Borne, 40 avenue Halley, 59650 Villeneuve d’Ascq, France;3. Department of Control Systems and Informatics, National Research University ITMO, 49 Kronverkskiy av., Saint Petersburg, 197101, Russia |
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| Abstract: | Several conditions are proposed to check different robustness properties (ISS, iISS, IOSS and OSS) for generic nonlinear systems applying the weighted homogeneity concept (global or local). The advantages of this result are that, under some mild conditions, the system robustness can be established as a function of the degree of homogeneity. |
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| Keywords: | Homogeneous systems Input-to-state stability Integral input-to-state stability |
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