  The paper proposes a framework for the construction of solutions to a hybrid
dynamical system that exhibit Zeno behavior. A new approach that enables
solution to be prolonged after reaching its Zeno time is developed. It allows
for a comprehensive stability analysis and asymptotic behavior characterization
of such solutions. The results are applicable to a wide class of hybrid systems
and match with practical experience of simulation of real-world phenomena.
Moreover they are potentially useful for applications to interconnections of
hybrid systems.
