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On the robustness of homogeneous systems and a homogeneous small gain theorem

Abstract : This paper is devoted to the study of the robustness properties stemming from geometric homogeneity. More precisely, we show that a continuous homogeneous system, which is asymptotically stable without perturbation, is always ISS w.r.t. a perturbation. We characterize the asymptotic gain of such a disturbed system and state a so-called homogeneous small gain theorem based on this estimation.
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https://hal.inria.fr/hal-01082174
Contributor : Denis Efimov <>
Submitted on : Wednesday, November 12, 2014 - 6:06:01 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:09 PM
Long-term archiving on: : Friday, February 13, 2015 - 11:31:33 AM

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  • HAL Id : hal-01082174, version 1

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Emmanuel Bernuau, Denis Efimov, Wilfrid Perruquetti. On the robustness of homogeneous systems and a homogeneous small gain theorem. IEEE MSC 2014, Oct 2014, Nice/Antibes, France. ⟨hal-01082174⟩

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