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首页> 外文期刊>Neural Networks and Learning Systems, IEEE Transactions on >Synchronization of Nonlinear Coupled Networks via Aperiodically Intermittent Pinning Control
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Synchronization of Nonlinear Coupled Networks via Aperiodically Intermittent Pinning Control

机译：通过非周期性间歇钉扎控制同步非线性耦合网络

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摘要

In this paper, pinning synchronization problem for nonlinear coupled networks is investigated, which can be recurrently connected neural networks, cellular neural networks, Hodgkin–Huxley models, Lorenz chaotic oscillators, and so on. Nodes in the network are assumed to be identical and nodes’ dynamical behaviors are described by continuous-time equations. The network topology is undirected and static. At first, the scope of accepted nonlinear coupling functions is defined, and the effect of nonlinear coupling functions on synchronization is carefully discussed. Then, the pinning control technique is used for synchronization, especially the control type is aperiodically intermittent. Some sufficient conditions to guarantee global synchronization are presented. Furthermore, the adaptive approach is also applied on the pinning control, and a centralized adaptive algorithm is designed and its validity is also proved. Finally, several numerical simulations are given to verify the obtained theoretical results.
机译：在本文中，研究了非线性耦合网络的钉扎同步问题，该问题可以是递归连接的神经网络，细胞神经网络，霍奇金-赫克斯利模型，洛伦兹混沌振荡器等。假定网络中的节点相同，并且节点的动态行为由连续时间方程式描述。网络拓扑是无向且静态的。首先，定义了可接受的非线性耦合函数的范围，并仔细讨论了非线性耦合函数对同步的影响。然后，将钉扎控制技术用于同步，尤其是控制类型是非周期性的。提供了一些足以保证全局同步的条件。此外，将自适应方法也应用于钉扎控制，设计了集中式自适应算法，并证明了其有效性。最后，通过几个数值模拟验证了所获得的理论结果。

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