Asynchronous Intermittent Event-Triggered Control for a Class of Coupled Stochastic Strict-Feedback Nonlinear Systems

Ji Lu; Yan Li; Yujie Pan

doi:10.62762/JNDA.2025.753314

Volume 1, Issue 2, Journal of Nonlinear Dynamics and Applications

Volume 1, Issue 2, 2025

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Journal of Nonlinear Dynamics and Applications, Volume 1, Issue 2, 2025: 112-126

Free to Read | Research Article | 24 December 2025

Asynchronous Intermittent Event-Triggered Control for a Class of Coupled Stochastic Strict-Feedback Nonlinear Systems

Ji Lu 1

Yan Li 1 *

Yujie Pan 1

1 College of Informatics, Huazhong Agriculture University, Wuhan 430072, China

* Corresponding Author: Yan Li, [email protected]

DOI: 10.62762/JNDA.2025.753314

ARK: ark:/57805/jnda.2025.753314

Received: 20 November 2025, Accepted: 19 December 2025, Published: 24 December 2025

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Abstract

This paper investigates a class of coupled stochastic strict-feedback nonlinear systems under asynchronous intermittent event-triggered control (AIETC). Initially, stochastic analysis technique, Lyapunov method and backstepping design method are employed to design the virtual and actual controllers. AIETC is achieved by an auxiliary timer that grants each subsystem its own control and rest time. In the meantime the control input is applied only at the last node of each subsystem. Then, a global Lyapunov function is constructed. By utilizing graph theory, the global exponential ultimate boundedness in mean square of the systems can be obtained and Zeno behavior is eliminated successfully. Finally, a simulation example is provided to demonstrate the effectiveness of our results.

Graphical Abstract

Asynchronous Intermittent Event-Triggered Control for a Class of Coupled Stochastic Strict-Feedback Nonlinear Systems

Keywords

stochastic nonlinear systems

intermittent control

event-triggered

backstepping

Data Availability Statement

Data will be made available on request.

Funding

This work was supported without any funding.

Conflicts of Interest

The authors declare no conflicts of interest.

Ethical Approval and Consent to Participate

Not applicable.

References

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Lu, J., Li, Y., & Pan, Y. (2025). Asynchronous Intermittent Event-Triggered Control for a Class of Coupled Stochastic Strict-Feedback Nonlinear Systems. Journal of Nonlinear Dynamics and Applications, 1(2), 112–126. https://doi.org/10.62762/JNDA.2025.753314

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TY  - JOUR
AU  - Lu, Ji
AU  - Li, Yan
AU  - Pan, Yujie
PY  - 2025
DA  - 2025/12/24
TI  - Asynchronous Intermittent Event-Triggered Control for a Class of Coupled Stochastic Strict-Feedback Nonlinear Systems
JO  - Journal of Nonlinear Dynamics and Applications
T2  - Journal of Nonlinear Dynamics and Applications
JF  - Journal of Nonlinear Dynamics and Applications
VL  - 1
IS  - 2
SP  - 112
EP  - 126
DO  - 10.62762/JNDA.2025.753314
UR  - https://www.icck.org/article/abs/JNDA.2025.753314
KW  - stochastic nonlinear systems
KW  - intermittent control
KW  - event-triggered
KW  - backstepping
AB  - This paper investigates a class of coupled stochastic strict-feedback nonlinear systems under asynchronous intermittent event-triggered control (AIETC). Initially, stochastic analysis technique, Lyapunov method and backstepping design method are employed to design the virtual and actual controllers. AIETC is achieved by an auxiliary timer that grants each subsystem its own control and rest time. In the meantime the control input is applied only at the last node of each subsystem. Then, a global Lyapunov function is constructed. By utilizing graph theory, the global exponential ultimate boundedness in mean square of the systems can be obtained and Zeno behavior is eliminated successfully. Finally, a simulation example is provided to demonstrate the effectiveness of our results.
SN  - 3069-6313
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  -

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@article{Lu2025Asynchrono,
  author = {Ji Lu and Yan Li and Yujie Pan},
  title = {Asynchronous Intermittent Event-Triggered Control for a Class of Coupled Stochastic Strict-Feedback Nonlinear Systems},
  journal = {Journal of Nonlinear Dynamics and Applications},
  year = {2025},
  volume = {1},
  number = {2},
  pages = {112-126},
  doi = {10.62762/JNDA.2025.753314},
  url = {https://www.icck.org/article/abs/JNDA.2025.753314},
  abstract = {This paper investigates a class of coupled stochastic strict-feedback nonlinear systems under asynchronous intermittent event-triggered control (AIETC). Initially, stochastic analysis technique, Lyapunov method and backstepping design method are employed to design the virtual and actual controllers. AIETC is achieved by an auxiliary timer that grants each subsystem its own control and rest time. In the meantime the control input is applied only at the last node of each subsystem. Then, a global Lyapunov function is constructed. By utilizing graph theory, the global exponential ultimate boundedness in mean square of the systems can be obtained and Zeno behavior is eliminated successfully. Finally, a simulation example is provided to demonstrate the effectiveness of our results.},
  keywords = {stochastic nonlinear systems, intermittent control, event-triggered, backstepping},
  issn = {3069-6313},
  publisher = {Institute of Central Computation and Knowledge}
}

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