Exponential Synchronization‐Like Control of State‐Dependent Impulsive Chaotic Neural Networks

ABSTRACT This paper investigates the local exponential synchronization‐like control between state‐dependent impulsive chaotic neural networks. First, various adequate conditions are theoretically proven to guarantee that the trajectory of every solution for the chaotic neural networks passes through each impulsive surface only once. Second, by designing segmented controllers and aperiodic intermittent controllers, respectively, making use of the comparison principle and linear matrix inequality techniques, this paper establishes adequate conditions for the local exponential synchronization‐like control between impulsive chaotic neural networks. Finally, the validity of the proposed results was confirmed by using examples and numerical simulations.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-11-04
DOI
https://doi.org/10.1002/mma.70207
Primary Topic
Neural Networks Stability and Synchronization
Type
article
Field-Weighted Citation Impact
0.00

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article

Exponential Synchronization‐Like Control of State‐Dependent Impulsive Chaotic Neural Networks

Yanshou Dong, Miao Xu, Ming Kang, Junfang Zhao et al.
Mathematical Methods in the Applied Sciences
Neural Networks Stability and Synchronization
article

Exponential Synchronization‐Like Control of State‐Dependent Impulsive Chaotic Neural Networks

Yanshou Dong, Miao Xu, Ming Kang, Junfang Zhao, Huijuan Yang
article en

Abstract

ABSTRACT This paper investigates the local exponential synchronization‐like control between state‐dependent impulsive chaotic neural networks. First, various adequate conditions are theoretically proven to guarantee that the trajectory of every solution for the chaotic neural networks passes through each impulsive surface only once. Second, by designing segmented controllers and aperiodic intermittent controllers, respectively, making use of the comparison principle and linear matrix inequality techniques, this paper establishes adequate conditions for the local exponential synchronization‐like control between impulsive chaotic neural networks. Finally, the validity of the proposed results was confirmed by using examples and numerical simulations.

Mathematical Methods in the Applied SciencesVol. 49(2)
China University of Geosciences (Beijing) (CN), Zhaotong University (CN)
Yunnan Provincial Department of Education
Openalex Percentile: Top 62%
Neural Networks Stability and Synchronization
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