Signal Sets on Time Scales with Application to Hybrid Systems

Understand

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.