Dynamic Output Quantized Control for Linear Delayed Systems With Random Impulses

This article studies global exponential stabilization almost surely (GES a.s.) of linear delayed systems with random impulses using dynamic output quantized control. The impulse intensity is uncertain and switches according to acrlong TP, where both stabilizing and destabilizing impulses may coexist. A new Lyapunov–Krasovskii functional approach is developed to gain sufficient criteria for ensuring the GES a.s.. It is shown that the random impulse has positive effect on the stability, even though the norm of the impulse intensity is larger than one. It is discovered that the acrlong DOQC is not necessary to stabilize the system without impulse. The effectiveness and advantages of the theoretical analysis are verified by numerical simulations.