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Conditions of existence of oscillations for hybrid systems

Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2 Anton Shiriaev 3
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
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 motivated by analysis of a model of two-link compass-gait biped robot.
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Submitted on : Monday, July 15, 2013 - 10:57:13 AM
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Denis Efimov, Wilfrid Perruquetti, Anton Shiriaev. Conditions of existence of oscillations for hybrid systems. IFAC-NOLCOS 2013 - 9th IFAC Symposium on Nonlinear Control Systems, Sep 2013, Toulouse, France. pp.223-228, ⟨10.3182/20130904-3-FR-2041.00092⟩. ⟨hal-00844408⟩

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