Robust Stability of Interval Systems With Impulses

Abstract

This letter investigates the robust stability of uncertain interval systems subject to impulsive effects, with comprehensive consideration given to uncertainties in both the system dynamics and the impulse time sequence. A novel interval matrices method is proposed, and techniques that decouple uncertainties in system dynamics are developed. These approaches establish dwell-time-based conditions to ensure the global asymptotic stability of interval systems, accommodating scenarios involving both stabilizing and destabilizing impulses. A numerical example is presented to illustrate the validity and effectiveness of the theoretical results.