Aperiodic intermittent control for exponential input-to-state stabilization of nonlinear impulsive systems

This article addresses the exponential input-to-state stabilization (EISS) problem for a class of nonlinear impulsive systems with external inputs, in which both continuous external inputs and impulsive disturbance are fully considered. The aperiodic intermittent control (APIC) strategy is designed by limiting the proportion of the control width in the control process, some sufficient conditions for the system to realize EISS are given, and the range of admissible impulse time sequences is derived. The designed APIC can overcome the dual adverse effects caused by continuous external input and admissible impulse time sequences, and help impulsive systems to obtain exponential input-state stability. Finally, the validity of the theorems is verified by numerical simulations.