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Stability of homogeneous nonlinear systems with sampled-data inputs

Abstract : The main goal of this article is to use properties of homogeneous systems for addressing the problem of stability for a class of nonlinear systems with sampled-data inputs. This nonlinear strategy leads to several kinds of stability, i.e. local asymptotic stability, global asymptotic stability or global asymptotic set stability, depending on the sign of the degree of homogeneity. The results are illustrated with the case of the double integrator.
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https://hal.archives-ouvertes.fr/hal-01724037
Contributor : Emmanuel Moulay <>
Submitted on : Wednesday, December 23, 2020 - 9:44:10 AM
Last modification on : Friday, January 15, 2021 - 3:09:43 AM

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Emmanuel Bernuau, Emmanuel Moulay, Patrick Coirault. Stability of homogeneous nonlinear systems with sampled-data inputs. Automatica, Elsevier, 2017, 85, pp.349 - 355. ⟨10.1016/j.automatica.2017.07.048⟩. ⟨hal-01724037⟩

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