Event-Triggered Fixed-Time Stabilization of Two Time Scales Linear Systems

This article investigates the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller. We proceed by emulation and assume that we know controller solves problem in absence sampling. then take sampling into account present an strategy, which consists independent mechanisms, associated with slow fast subsystems, respectively. In this setting, stability property becomes practical, where adjustable parameters are constants used to define triggering rules. The existence strictly positive between any successive transmissions is ensured for each transmission law. A numerical example provided illustrate effectiveness results.