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HYBRID LIMIT CYCLES AND HYBRID POINCARÉ-BENDIXSON

We present two results about regular hybrid systems with no branching (Simic et al., 2000a). The first one provides a condition for asymptotic stability of hybrid closed orbits in terms of contraction-expansion rates of resets and flows in a hybrid system. The second one is a generalization of the Poincare-Bendixson theorem to planar hybrid systems.