一类带时滞的四元数神经网络的全局指数反同步
Global Exponential Anti-Synchronization for a Class of Quaternion-Valued Neural Networks with Time Delays
摘要:
本文就一类带时滞的四元数值神经网络(QVNNs)的指数反同步问题进行研究。首先依据Hamilton法则，将QVNNs分解为4个等价的实值神经网络(RVNNs)。然后通过构造合适的Lyapunov-Krasovskii泛函，利用驱动–响应同步方法和矩阵不等式理论，得到了四元数值时滞神经网络关于指数反同步的一个结果。最后，通过数值仿真算例验证了所提出方法的有效性。
Abstract:
In this paper, the problem of global exponential anti-synchronization for a class of quaterni-on-valued neural networks (QVNNs) with time delays is studied. Firstly, in light of Hamilton’s law, the QVNNs were decomposed into four real-valued parts to compose the equivalent real-valued sys-tems. Next, by constructing appropriate Lyapunov-Krasovskii functionals, utilizing drive-response synchronization method and matrix inequality theory, a result about global exponential an-ti-synchronization of QVNNs with time delays is realized. Finally, a numerical example was given to verify the effectiveness of the proposed method.
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