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Event-based delayed impulsive control for fractional-order dynamic systems with application to synchronization of fractional-order neural networks

In this paper, delayed impulsive control for fractional-order dynamic systems via event-triggering mechanism (ETM) is investigated, in which the impact of time delays in impulses is taken into account. Combining the novel event-triggering function into the transformed fractional-order delayed impuls...

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Bibliographic Details
Published in:Neural computing & applications 2023-09, Vol.35 (27), p.20241-20251
Main Authors: Zheng, Bibo, Wang, Zhanshan
Format: Article
Language:English
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Summary:In this paper, delayed impulsive control for fractional-order dynamic systems via event-triggering mechanism (ETM) is investigated, in which the impact of time delays in impulses is taken into account. Combining the novel event-triggering function into the transformed fractional-order delayed impulsive control system, the event-triggered impulsive sequence is generated. Under the frame of event-based delayed impulsive control (EDIC) technique, system signals are only allowed to be transmitted at discrete instants, while no additional control input is required for two successive impulsive instants. Then, the positive quantity of inter-execution is proved, which can exclude the Zeno behavior. Furthermore, the relationship is discussed among delayed impulsive functions, event-triggering parameters, and the order of controlled fractional-order systems. Compared with traditional time-triggered mechanism where the impulsive instants are required to be set in advance, EDIC can be viewed as a more flexible impulsive control since it makes impulsive control only activate when designed events occur, effectively improving the control efficiency. The simulation results are provided to verified the effectiveness of the proposed method at the end of this paper.
ISSN:0941-0643
1433-3058
DOI:10.1007/s00521-023-08738-z