  Recently, time scales calculus is developed to unify continuous and discrete
analysis. By extending the definition of time scales properly, this paper
introduces the concept of a signal set as well as its stability properties in
terms of the so-called pseudo distance measure. This leads to more general
Lyapunov like conditions to check stability properties of systems with hybrid
nature. By way of examples, the proposed framework is used to model hybrid
systems with simplicity and flexibility to characterize trajectories in the
behavior of hybrid systems.
