Local exponential stability of delayed nonlinear systems with actuator saturation under event/self-triggered impulsive control

Mengyao Shi, Lulu Li and Wei Huang

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 240, issue C, 862-876

Abstract: This paper investigate the stability of delayed nonlinear systems with actuator saturation under event/self-triggered impulsive control (E/STIC). The research first introduces a Lyapunov-based ETIC mechanism that synergistically combines impulsive and event-triggered control approaches. Using the Lyapunov–Razumikhin (L–R) method and linear matrix inequality (LMI) techniques, we establish sufficient conditions for local exponential stability (LES) while preventing the Zeno phenomenon. We then extend this framework to develop an STIC mechanism through the comparison method, which eliminates the need for continuous signal monitoring between consecutive impulse instants, thereby reducing operational costs. The theoretical framework is enhanced by an LMI-based optimization algorithm for estimating the maximal region of attraction, and the effectiveness of both control strategies is demonstrated through two numerical examples.

Keywords: Delayed nonlinear system; Actuator saturation; Event-triggered impulsive control; Self-triggered impulsive control (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:240:y:2026:i:c:p:862-876

DOI: 10.1016/j.matcom.2025.07.062

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