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

【摘要】 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.

【会议名称】 2014 IEEE International conference on control applications

【会议地点】Antibes(FR)

【作者】 Bernuau Emmanuel; Efimov Denis; Perruquetti Wilfrid;

【作者单位】 IRCCyN, UMR CNRS 6597, Ecole Centrale de Nantes, 1 rue de la Noé, 44300 Nantes, France;

【会议组织】

【会议召开年】 2014

【页码】929-934

【总页数】6

【原文格式】PDF

【正文语种】eng

【中图分类】;

【原文服务方】国家工程技术数字图书馆

【关键词】Asymptotic stability;Control systems;Estimation;Lyapunov methods;Nonlinear systems;Robustness;Vectors;

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