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Input-to-state stabilization of nonlinear systems with impulsive disturbance via event-triggered impulsive control

Author

Listed:
  • Sun, Wenjun
  • Wang, Mingzhu
  • Xia, Jianwei
  • Li, Xiaodi

Abstract

This paper investigates the input-to-state stabilization (ISS) problem for nonlinear impulsive systems under event-triggered impulsive control (ETIC), encompassing comprehensive considerations of external continuous and impulsive disturbances. Some flexible design criteria of ETIC strategies are proposed for ISS of addressed systems based on Lyapunov theory without Zeno behavior, which can effectively overcome the negative effects caused by the double disturbances. Moreover, a relationship between event-triggered mechanism (ETM), impulsive control strength, and two kinds of external disturbances is established. Compared with the existing results on ISS of nonlinear systems based on ETIC, our proposed ETIC strategies can be applied to the practical applications involving impulsive disturbance with stronger robustness. Finally, the proposed results are further validated through the presentation of two numerical examples.

Suggested Citation

  • Sun, Wenjun & Wang, Mingzhu & Xia, Jianwei & Li, Xiaodi, 2025. "Input-to-state stabilization of nonlinear systems with impulsive disturbance via event-triggered impulsive control," Applied Mathematics and Computation, Elsevier, vol. 497(C).
    • Handle: RePEc:eee:apmaco:v:497:y:2025:i:c:s009630032500092x
    DOI: 10.1016/j.amc.2025.129365
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