State-Dependent Intermittent Synchronization Control for Coupled Switched Neural Networks: A Prescribed-Time Approach
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Abstract
This paper addresses the problem of achieving prescribed-time synchronization of coupled switched neural networks (CSNNs) using state-dependent intermittent control. Unlike traditional intermittent control, the intervals for work and rest in this approach are not pre-designed but determined by the relationship between the designed Lyapunov function and the boundary auxiliary functions. The proposed control strategy can effectively mitigate chattering behavior arising from rapid switching in traditional intermittent control. Subsequently, leveraging Lyapunov theory and various inequality techniques, we develop a new set of sufficient conditions, formulated as linear matrix inequalities (LMIs), to ensure prescribed-time synchronization of CSNNs under the designed intermittent control strategy. In the end, a numerical example is given to verify the obtained theoretical results.
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References
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Cite This Article
TY - JOUR AU - Yao, Yu AU - Long, Changqing PY - 2025 DA - 2025/08/24 TI - State-Dependent Intermittent Synchronization Control for Coupled Switched Neural Networks: A Prescribed-Time Approach JO - Journal of Nonlinear Dynamics and Applications T2 - Journal of Nonlinear Dynamics and Applications JF - Journal of Nonlinear Dynamics and Applications VL - 1 IS - 1 SP - 3 EP - 9 DO - 10.62762/JNDA.2025.493957 UR - https://www.icck.org/article/abs/JNDA.2025.493957 KW - coupled switched neural networks KW - intermittent control KW - prescribed-time synchronization KW - Lyapunov function KW - linear matrix inequalities AB - This paper addresses the problem of achieving prescribed-time synchronization of coupled switched neural networks (CSNNs) using state-dependent intermittent control. Unlike traditional intermittent control, the intervals for work and rest in this approach are not pre-designed but determined by the relationship between the designed Lyapunov function and the boundary auxiliary functions. The proposed control strategy can effectively mitigate chattering behavior arising from rapid switching in traditional intermittent control. Subsequently, leveraging Lyapunov theory and various inequality techniques, we develop a new set of sufficient conditions, formulated as linear matrix inequalities (LMIs), to ensure prescribed-time synchronization of CSNNs under the designed intermittent control strategy. In the end, a numerical example is given to verify the obtained theoretical results. SN - 3069-6313 PB - Institute of Central Computation and Knowledge LA - English ER -
@article{Yao2025StateDepen,
author = {Yu Yao and Changqing Long},
title = {State-Dependent Intermittent Synchronization Control for Coupled Switched Neural Networks: A Prescribed-Time Approach},
journal = {Journal of Nonlinear Dynamics and Applications},
year = {2025},
volume = {1},
number = {1},
pages = {3-9},
doi = {10.62762/JNDA.2025.493957},
url = {https://www.icck.org/article/abs/JNDA.2025.493957},
abstract = {This paper addresses the problem of achieving prescribed-time synchronization of coupled switched neural networks (CSNNs) using state-dependent intermittent control. Unlike traditional intermittent control, the intervals for work and rest in this approach are not pre-designed but determined by the relationship between the designed Lyapunov function and the boundary auxiliary functions. The proposed control strategy can effectively mitigate chattering behavior arising from rapid switching in traditional intermittent control. Subsequently, leveraging Lyapunov theory and various inequality techniques, we develop a new set of sufficient conditions, formulated as linear matrix inequalities (LMIs), to ensure prescribed-time synchronization of CSNNs under the designed intermittent control strategy. In the end, a numerical example is given to verify the obtained theoretical results.},
keywords = {coupled switched neural networks, intermittent control, prescribed-time synchronization, Lyapunov function, linear matrix inequalities},
issn = {3069-6313},
publisher = {Institute of Central Computation and Knowledge}
}
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