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

Author

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  • Shi, Mengyao
  • Li, Lulu
  • Huang, Wei

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.

Suggested Citation

  • Shi, Mengyao & Li, Lulu & Huang, Wei, 2026. "Local exponential stability of delayed nonlinear systems with actuator saturation under event/self-triggered impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 240(C), pages 862-876.
    • Handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:862-876
    DOI: 10.1016/j.matcom.2025.07.062
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    References listed on IDEAS

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    1. Houda, K. & Saifia, D. & Chadli, M. & Labiod, S., 2023. "Unknown input observer based robust control for fuzzy descriptor systems subject to actuator saturation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 150-173.
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    3. Kuang, Daipeng & Gao, Dongdong & Li, Jianli, 2025. "Stabilization of nonlinear stochastic systems via event-triggered impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 233(C), pages 389-399.
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    5. Cheng, Mengqing & Zhao, Junsheng & Xie, Xiangpeng & Sun, Zong-yao, 2024. "A novel finite-time stability criteria and controller design for nonlinear impulsive systems," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    6. Shen, Zixiang & Li, Chuandong & Li, Hongfei & Cao, Zhengran, 2019. "Estimation of the domain of attraction for discrete-time linear impulsive control systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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