Sampled-data exponential stabilization for delayed complex valued neural networks with quantized intermittent communication
- 1College of Science, Qingdao University of Technology, Qingdao, Shandong, China
Abstract
This paper addresses the sampled-data exponential stabilization problem for delayed complex-valued neural networks (DCNNs) over capacity-limited communication channels. To reduce communication load, a quantized intermittent sampled-data transmission (QIST) protocol is proposed. A transmission-interval-dependent Lyapunov functional is constructed, which is continuous and piecewise-defined in accordance with the communication mechanism. Using the Lyapunov functional method combined with inequality estimation techniques, two exponential stabilization criteria are derived in the form of complex-valued linear matrix inequalities (LMIs). These criteria establish, for the first time, an explicit quantitative relationship between the duty cycle of the rest intervals and the maximum allowable upper bound of the transmission length. Specifically, it is shown that the maximum allowable duty cycle Ψ― decreases monotonically as the transmission length increases, and a one-dimensional search algorithm is provided to determine either Ψ― or the transmission length hk. Numerical simulations on a third-order DCNN demonstrate that the proposed QIST protocol achieves global exponential stabilization with reduced communication resource consumption, and the trade-off between actuator rest time and switching frequency of electronic devices is quantitatively analyzed. These results confirm the effectiveness and practical advantages of the proposed approach.
Related
- Survival-associated cellular communication networks in human solid cancers
- Stabilization of recurrent neural networks through divisive normalization
- Multicellular Communication Networks in Myocardial Ischemia-Reperfusion Injury: Spatial and Temporal Organization of Injury and Repair
- LiverHomo: An Integrated and Interactive Human Liver Single-Cell Atlas with Protein Interaction and Cell-Cell Communication Networks
- The relationship between family communication networks and elderly loneliness: A structural equation modeling approach across three generations
BibTeX
@article{li2026sampleddata,
title = {{Sampled-data exponential stabilization for delayed complex valued neural networks with quantized intermittent communication}},
author = {Jie Li and Xiaohong Wang},
journal = {PLOS One},
year = {2026},
month = sep,
doi = {10.1371/journal.pone.0357795},
url = {https://doi.org/10.1371/journal.pone.0357795},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Sampled-data exponential stabilization for delayed complex valued neural networks with quantized intermittent communication
AU - Jie Li
AU - Xiaohong Wang
PY - 2026
DA - 2026/09/09
JO - PLOS One
DO - 10.1371/journal.pone.0357795
UR - https://doi.org/10.1371/journal.pone.0357795
AB - This paper addresses the sampled-data exponential stabilization problem for delayed complex-valued neural networks (DCNNs) over capacity-limited communication channels. To reduce communication load, a quantized intermittent sampled-data transmission (QIST) protocol is proposed. A transmission-interval-dependent Lyapunov functional is constructed, which is continuous and piecewise-defined in accordance with the communication mechanism. Using the Lyapunov functional method combined with inequality estimation techniques, two exponential stabilization criteria are derived in the form of complex-valued linear matrix inequalities (LMIs). These criteria establish, for the first time, an explicit quantitative relationship between the duty cycle of the rest intervals and the maximum allowable upper bound of the transmission length. Specifically, it is shown that the maximum allowable duty cycle Ψ― decreases monotonically as the transmission length increases, and a one-dimensional search algorithm is provided to determine either Ψ― or the transmission length hk. Numerical simulations on a third-order DCNN demonstrate that the proposed QIST protocol achieves global exponential stabilization with reduced communication resource consumption, and the trade-off between actuator rest time and switching frequency of electronic devices is quantitatively analyzed. These results confirm the effectiveness and practical advantages of the proposed approach.
SN - 1932-6203
ER -