Master-slave synchronization of Lurie systems with time-delay based on event-triggered control

Chao Ma; Tianbo Wang; Wenjie You; Chao Ma; Tianbo Wang; Wenjie You

doi:10.3934/math.2023302

AIMS Mathematics

2023, Volume 8, Issue 3: 5998-6008. doi: 10.3934/math.2023302

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Research article

Master-slave synchronization of Lurie systems with time-delay based on event-triggered control

School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China

Received: 11 September 2022 Revised: 25 October 2022 Accepted: 27 October 2022 Published: 28 December 2022
MSC : 34D20

This paper investigates the master-slave synchronization of Lurie systems with time delay via the event-triggered control. Different from some state feedback control methods with a fixed sampling period or impulsive control with random sampling moments, the event-triggered control means that the controller is updated only if some event-triggering conditions are satisfied. A predefined triggering condition is provided by using the Lyapunov stability theory. Moreover, this condition is proved not to be commonplace. Finally, a numerical example is given to show the correctness of the proposed method.
- Master-slave synchronization,
- event-triggered control,
- Lurie system,
- time delay
Citation: Chao Ma, Tianbo Wang, Wenjie You. Master-slave synchronization of Lurie systems with time-delay based on event-triggered control[J]. AIMS Mathematics, 2023, 8(3): 5998-6008. doi: 10.3934/math.2023302

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Abstract

This paper investigates the master-slave synchronization of Lurie systems with time delay via the event-triggered control. Different from some state feedback control methods with a fixed sampling period or impulsive control with random sampling moments, the event-triggered control means that the controller is updated only if some event-triggering conditions are satisfied. A predefined triggering condition is provided by using the Lyapunov stability theory. Moreover, this condition is proved not to be commonplace. Finally, a numerical example is given to show the correctness of the proposed method.

References

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