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Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks
Publication type: Journal Article
Publication date: 2025-01-02
scimago Q2
wos Q1
SJR: 0.583
CiteScore: 4.0
Impact factor: 2.0
ISSN: 13925113, 23358963
Abstract
This paper investigates the problem of absolute exponential stability analysis for switching time-delay Lurie system (STDLS) with all modes unstable. By proposing a novel switching time-varying Lyapunov–Razumikhin function, a computable sufficient condition is formulated to guarantee absolute exponential stability of STDLS under mode-dependent range dwell-time (MDRDT) switching. Especially, theoretical results are applied to switching delay Hopfield neural network. Simulations are served to illustrate the developed theory.
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Wenxiu Zhao W., Sun Y. Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks // Nonlinear Analysis: Modelling and Control. 2025. Vol. 30. No. 1. pp. 40-57.
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Wenxiu Zhao W., Sun Y. Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks // Nonlinear Analysis: Modelling and Control. 2025. Vol. 30. No. 1. pp. 40-57.
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TY - JOUR
DO - 10.15388/namc.2025.30.38317
UR - https://www.journals.vu.lt/nonlinear-analysis/article/view/38323
TI - Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks
T2 - Nonlinear Analysis: Modelling and Control
AU - Wenxiu Zhao, Wenxiu
AU - Sun, Yuangong
PY - 2025
DA - 2025/01/02
PB - Vilnius University Press
SP - 40-57
IS - 1
VL - 30
SN - 1392-5113
SN - 2335-8963
ER -
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@article{2025_Wenxiu Zhao,
author = {Wenxiu Wenxiu Zhao and Yuangong Sun},
title = {Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks},
journal = {Nonlinear Analysis: Modelling and Control},
year = {2025},
volume = {30},
publisher = {Vilnius University Press},
month = {jan},
url = {https://www.journals.vu.lt/nonlinear-analysis/article/view/38323},
number = {1},
pages = {40--57},
doi = {10.15388/namc.2025.30.38317}
}
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MLA
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Wenxiu Zhao, Wenxiu, and Yuangong Sun. “Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks.” Nonlinear Analysis: Modelling and Control, vol. 30, no. 1, Jan. 2025, pp. 40-57. https://www.journals.vu.lt/nonlinear-analysis/article/view/38323.