Novel Adaptive Strategies for Synchronization of Linearly Coupled Neural Networks With Reaction-Diffusion Terms

Wang J.-L.; Wu H.-N.; Guo L.

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Novel Adaptive Strategies for Synchronization of Linearly Coupled Neural Networks With Reaction-Diffusion Terms

机译：具有反应扩散项的线性耦合神经网络同步的新自适应策略

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In this paper, two types of linearly coupled neural networks with reaction-diffusion terms are proposed. We respectively investigate the adaptive synchronization of these two types of complex network models. With local information of node dynamics, some novel adaptive strategies to tune the coupling strengths among network nodes are designed. By constructing appropriate Lyapunov functionals and using inequality techniques, several sufficient conditions are given for reaching synchronization by using the designed adaptive laws. Finally, two examples with numerical simulations are provided to demonstrate the effectiveness of the theoretical results.

机译：本文提出了两种类型的具有反应扩散项的线性耦合神经网络。我们分别研究了这两种类型的复杂网络模型的自适应同步。利用节点动力学的局部信息，设计了一些新颖的自适应策略来调整网络节点之间的耦合强度。通过构造适当的Lyapunov函数并使用不等式技术，使用设计的自适应定律给出了几个足以达到同步的条件。最后，提供了两个带有数值模拟的例子来证明理论结果的有效性。

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《Neural Networks and Learning Systems, IEEE Transactions on》 |2014年第2期|429-440|共12页
作者
Wang J.-L.; Wu H.-N.; Guo L.;
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作者单位

Science and Technology on Aircraft Control Laboratory, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China|c|;

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正文语种 eng
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关键词
Adaptive coupling; Lyapunov functional; complex networks; synchronization;

机译：自适应耦合;李雅普诺夫功能;复杂网络;同步;

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1. Adaptive synchronization in an array of linearly coupled neural networks with reaction-diffusion terms and time delays [J] . Kai Wang, Zhidong Teng, Haijun Jiang Communications in Nonlinear Science and Numerical Simulation . 2012,第10期

机译：具有反应扩散项和时滞的线性耦合神经网络阵列中的自适应同步
2. Pinning control and adaptive control for synchronization of linearly coupled reaction-diffusion neural networks with mixed delays [J] . He Ping International Journal of Adaptive Control and Signal Processing . 2018,第8期

机译：混合时滞线性耦合反应扩散神经网络的同步控制和自适应控制
3. Passivity and Synchronization of Linearly Coupled Reaction-Diffusion Neural Networks With Adaptive Coupling [J] . Wang Jin-Liang, Wu Huai-Ning, Huang Tingwen, Cybernetics, IEEE Transactions on . 2015,第9期

机译：具有自适应耦合的线性耦合反应扩散神经网络的无源性和同步
4. Synchronization of coupled reaction-diffusion neural networks with switching topology via generalized intermittent control and adaptive strategy [C] . Binglong Lu, Haijun Jiang, Cheng Hu, Chinese Control Conference . 2017

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Novel Adaptive Strategies for Synchronization of Linearly Coupled Neural Networks With Reaction-Diffusion Terms

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