On the robustness of homogeneous systems and a homogeneous small gain theorem - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Année : 2014

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

Résumé

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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Dates et versions

hal-01082174 , version 1 (12-11-2014)

Identifiants

  • HAL Id : hal-01082174 , version 1

Citer

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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