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Fixed-Time Stabilization for a Class of Dynamical Systems and Its Application to a Chaotic System
1
School of Artificial Intelligence and Big Data, Wuhan Business University, Wuhan 430000, China
* Corresponding Author:
Jing Han,
[email protected]
Volume 2, Issue 3
2026
Received: 17 July 2026
Revised: 24 September 2026
Accepted: 26 September 2026
Published: 28 September 2026
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Article Information
Published in
Journal of Nonlinear Dynamics and Applications
Volume/Issue
Volume 2, Issue 3, 2026
Pages
217-221
Abstract
In this letter, the fixed-time stabilization of a class of dynamical systems is investigated. By using a fixed-time stability lemma and feedback control, new algebraic criteria ensuring the fixed-time stabilization of the dynamical systems under consideration are established. The obtained results are then applied to stabilize a chaotic system, and numerical simulations demonstrate the effectiveness of the theoretical results.
Graphical Abstract
Keywords
fixed-time stability
dynamical system
chaotic system
feedback control
Data Availability Statement
Data will be made available on request.
Funding
This work was supported in part by the Science and Technology Research Program of the Hubei Provincial Department of Education under Grant B2024273, and the Doctoral Fund Program of Wuhan Business University under Grant 2024KB015.
Conflicts of Interest
The authors declare no conflicts of interest.
AI Use Statement
The authors declare that no generative AI was used in the preparation of this manuscript.
Ethical Approval and Consent to Participate
Not applicable.
References
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Cite This Article
APA Style
Han, J., Fan, Y., & Huang, J. (2026). Fixed-Time Stabilization for a Class of Dynamical Systems and Its Application to a Chaotic System. Journal of Nonlinear Dynamics and Applications, 2(3), 217-221. https://doi.org/10.62762/JNDA.2026.507142
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TY - JOUR AU - Han, Jing AU - Fan, Yanzhe AU - Huang, Jiawen PY - 2026 DA - 2026/09/28 TI - Fixed-Time Stabilization for a Class of Dynamical Systems and Its Application to a Chaotic System JO - Journal of Nonlinear Dynamics and Applications T2 - Journal of Nonlinear Dynamics and Applications JF - Journal of Nonlinear Dynamics and Applications VL - 2 IS - 3 SP - 217 EP - 221 DO - 10.62762/JNDA.2026.507142 UR - https://www.icck.org/article/abs/JNDA.2026.507142 KW - fixed-time stability KW - dynamical system KW - chaotic system KW - feedback control AB - In this letter, the fixed-time stabilization of a class of dynamical systems is investigated. By using a fixed-time stability lemma and feedback control, new algebraic criteria ensuring the fixed-time stabilization of the dynamical systems under consideration are established. The obtained results are then applied to stabilize a chaotic system, and numerical simulations demonstrate the effectiveness of the theoretical results. SN - 3069-6313 PB - Institute of Central Computation and Knowledge LA - English ER -
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@article{Han2026FixedTime,
author = {Jing Han and Yanzhe Fan and Jiawen Huang},
title = {Fixed-Time Stabilization for a Class of Dynamical Systems and Its Application to a Chaotic System},
journal = {Journal of Nonlinear Dynamics and Applications},
year = {2026},
volume = {2},
number = {3},
pages = {217-221},
doi = {10.62762/JNDA.2026.507142},
url = {https://www.icck.org/article/abs/JNDA.2026.507142},
abstract = {In this letter, the fixed-time stabilization of a class of dynamical systems is investigated. By using a fixed-time stability lemma and feedback control, new algebraic criteria ensuring the fixed-time stabilization of the dynamical systems under consideration are established. The obtained results are then applied to stabilize a chaotic system, and numerical simulations demonstrate the effectiveness of the theoretical results.},
keywords = {fixed-time stability, dynamical system, chaotic system, feedback control},
issn = {3069-6313},
publisher = {Institute of Central Computation and Knowledge}
}
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