Dynamic event-triggered impulsive quasi-synchronisation of nonlinear time-delay drive-response systems with mismatched parameters

Xiaotao Zhou, Jieqing Tan, Lulu Li and Xu Zhang

International Journal of Systems Science, 2025, vol. 56, issue 10, 2296-2310

Abstract: This paper presents an in-depth investigation into the quasi-synchronisation of nonlinear time-delay drive-response systems with mismatched parameters by dynamic event-triggered impulsive control (ETIC), which integrates impulsive control and dynamic event-triggered control (ETC). The impulsive moments are determined by a certain dynamic state-dependent event mechanism. Compared to static ETIC, the proposed dynamic ETIC scheme effectively minimises the amount of controller updates and saves a significant amount of energy without reducing the system decay rate. Utilizing Lyapunov stability theory and the variation of the parameter formula, some appropriate conditions are set to keep the synchronisation error within a non-zero bound. It shows that the dynamic ETIC strategy effectively achieves quasi-synchronisation of considered systems, and the Zeno phenomenon is excluded by contradiction. Finally, the validity of the methods is demonstrated through a numerical example.

Date: 2025
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DOI: 10.1080/00207721.2024.2447340

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