Adaptive Control for Exponential Synchronization of Delayed Memristive Neural Networks

Ruimei Zhang, S. Zhong, Deqiang Zeng
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Abstract

The exponential synchronization is studied in this paper for delayed memristive neural networks (MNNs). A new discontinuous adaptive control scheme is designed, which employs not only the proportional action but also the derivative action. Then, by adopting the adaptive control scheme and constructing an appropriate Lyapunov-Krasovskii functional (LKF), novel synchronization conditions are established. In the end, we use a numerical example to verify the effectiveness of the theory results.
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延迟记忆记忆神经网络指数同步的自适应控制
研究了延迟记忆神经网络(MNNs)的指数同步问题。设计了一种新的不连续自适应控制方案,既采用比例作用,又采用导数作用。然后,采用自适应控制方案,构造合适的Lyapunov-Krasovskii泛函(LKF),建立新的同步条件。最后,通过数值算例验证了理论结果的有效性。
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