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Pinning synchronization of linearly coupled delayed neural networks

机译:线性耦合时滞神经网络的固定同步

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Without assuming the symmetry or irreducibility of the coupling configuration matrices, this paper investigates the pinning synchronization in an array of linearly coupled delayed neural networks with both constant and delayed couplings. Under some low-dimensional conditions, it is shown that the network can be pinned to a homogenous state by applying adaptive feedback control actions to a small fraction of network nodes. In particular, the paper addresses how to determine a set of pinned nodes for a linearly coupled delayed neural network model with fixed coupling matrices and strengths. Numerical simulations are given to verify the theoretical analysis.
机译:在不假设耦合配置矩阵对称性或不可约性的情况下,本文研究了具有恒定和延迟耦合的线性耦合延迟神经网络阵列中的钉扎同步。在某些低维条件下,表明可以通过将自适应反馈控制动作应用于网络节点的一小部分,将网络固定到同质状态。特别是,本文探讨了如何为具有固定耦合矩阵和强度的线性耦合延迟神经网络模型确定一组固定节点。通过数值模拟验证了理论分析。

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