Sigmoid-function Based Fixed-time Stability of Delayed Nonlinear Dynamic Systems
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Abstract
This paper investigates fixed-time stability of delayed nonlinear dynamic systems. At first, by designing an inequality with sigmoid-function, a new kind of fixed-time stability lemma is constructed. Then, as an application, the new proposed lemma is applied to discuss fixed-time stabilization(FT) for a kind of delayed neural networks. At last, simulations are also given to show the effectiveness of the derived results.
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References
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Cited By (1)
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Zhongtao He, Guodong Zhang, Shiping Wen. Fixed/predefined-time stabilization based on hyperbolic cosine function for memristive neural networks with mixed delays.
Franklin Open, 2026 , 15 .
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Cite This Article
TY - JOUR AU - Zhang, Guodong AU - Kashkynbayev, Ardak AU - Gerontitis, Dimitrios K. AU - Chiu, Kuo-Shou PY - 2026 DA - 2026/02/27 TI - Sigmoid-function Based Fixed-time Stability of Delayed Nonlinear Dynamic Systems JO - Journal of Nonlinear Dynamics and Applications T2 - Journal of Nonlinear Dynamics and Applications JF - Journal of Nonlinear Dynamics and Applications VL - 2 IS - 1 SP - 13 EP - 19 DO - 10.62762/JNDA.2026.431637 UR - https://www.icck.org/article/abs/JNDA.2026.431637 KW - fixed-time stability KW - nonlinear dynamic systems KW - fixed-time stabilization KW - sigmoid-function KW - time delays AB - This paper investigates fixed-time stability of delayed nonlinear dynamic systems. At first, by designing an inequality with sigmoid-function, a new kind of fixed-time stability lemma is constructed. Then, as an application, the new proposed lemma is applied to discuss fixed-time stabilization(FT) for a kind of delayed neural networks. At last, simulations are also given to show the effectiveness of the derived results. SN - 3069-6313 PB - Institute of Central Computation and Knowledge LA - English ER -
@article{Zhang2026Sigmoidfun,
author = {Guodong Zhang and Ardak Kashkynbayev and Dimitrios K. Gerontitis and Kuo-Shou Chiu},
title = {Sigmoid-function Based Fixed-time Stability of Delayed Nonlinear Dynamic Systems},
journal = {Journal of Nonlinear Dynamics and Applications},
year = {2026},
volume = {2},
number = {1},
pages = {13-19},
doi = {10.62762/JNDA.2026.431637},
url = {https://www.icck.org/article/abs/JNDA.2026.431637},
abstract = {This paper investigates fixed-time stability of delayed nonlinear dynamic systems. At first, by designing an inequality with sigmoid-function, a new kind of fixed-time stability lemma is constructed. Then, as an application, the new proposed lemma is applied to discuss fixed-time stabilization(FT) for a kind of delayed neural networks. At last, simulations are also given to show the effectiveness of the derived results.},
keywords = {fixed-time stability, nonlinear dynamic systems, fixed-time stabilization, sigmoid-function, time delays},
issn = {3069-6313},
publisher = {Institute of Central Computation and Knowledge}
}
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