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Stability of discontinuous homogeneous nonlinear sampled-data systems

Abstract : The article deals with the stability of discontinuous homogeneous nonlinear systems with aperiodic sampled-data inputs. We first extend results about robustness of homogeneous nonlinear systems to the discontinuous case. Then, we prove that this framework is well suited for studying the stability of discontinuous homogeneous nonlinear sampled-data systems. The results are illustrated on the double integrator.
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https://hal.archives-ouvertes.fr/hal-02266749
Contributor : Emmanuel Moulay <>
Submitted on : Wednesday, December 23, 2020 - 9:19:49 AM
Last modification on : Tuesday, January 12, 2021 - 3:09:54 AM

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Emmanuel Bernuau, Emmanuel Moulay, Patrick Coirault. Stability of discontinuous homogeneous nonlinear sampled-data systems. Automatica, Elsevier, 2019, 107, pp.467-473. ⟨10.1016/j.automatica.2019.06.013⟩. ⟨hal-02266749⟩

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