Input-to-State Stabilization of Nonlinear Time-Delay Systems via a Modified Event-Triggered Impulsive Control

Abstract

This paper, based on Lyapunov stability analysis, designs a more flexible triggering mechanism for a class of nonlinear systems with time-delay effects. The proposed event-triggered pulse control scheme can ensure global input-to-state stability (ISS) and strictly prevent Zeno behavior. The advantages and optimized performance of the findings are verified through typical numerical examples. Simulation results show that, under the same external disturbance conditions, traditional schemes generate a large number of pulse events, whereas the adaptive mechanism proposed here only requires a few pulses to maintain system stability, significantly reducing communication resource usage. At the same time, under strong disturbance conditions, the system's peak state deviation is noticeably suppressed, showing better robustness and lower triggering frequency. Considering that in practical engineering, pulse actions can introduce additional delays, future research will further analyze scenarios where pulse execution has delays and explore delay-related pulse issues within the proposed triggering framework.