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On existence of oscillations in hybrid systems

Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2, 3 Anton Shiriaev 4
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189, Inria Lille - Nord Europe
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The paper extends the notion of oscillations in the sense of Yakubovich to hybrid dynamics. Several sufficient stability and instability conditions for a forward invariant set are presented. The consideration is illustrated by analysis of a model of two-link compass-gait biped robot.
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https://hal.inria.fr/hal-00906088
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Submitted on : Tuesday, November 19, 2013 - 11:13:22 AM
Last modification on : Tuesday, May 25, 2021 - 10:54:02 AM
Long-term archiving on: : Thursday, February 20, 2014 - 7:10:09 AM

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Denis Efimov, Wilfrid Perruquetti, Anton Shiriaev. On existence of oscillations in hybrid systems. Nonlinear Analysis: Hybrid Systems, Elsevier, 2014, 12, pp.104-116. ⟨10.1016/j.nahs.2013.11.005⟩. ⟨hal-00906088⟩

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