Based on -norm, this paper investigates global exponential synchronization (GES) for BAM memristive neural networks (BAMMNNs) with mixed delays and reaction–diffusion (RD) terms. Different from the existing literatures, this paper discusses the GES of the NNs based on a new integral inequality with infinite distributed delay. This method is based on inequality technique and comparison principle, which makes the form of Lyapunov function and controller more simple. Next, by introducing two different control strategies and the concept of driven response, two sufficient conditions are got to ensure GES of the proposed system. It is noteworthy that the results obtained by algebraic inequality are extension of the previous conclusions. Finally, two instances verify the correctness of the conclusions.

中文翻译：

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具有混合延迟和反应扩散项的 BAM 忆阻神经网络的全局指数同步


基于 -norm，本文研究了具有混合延迟和反应扩散 (RD) 项的 BAM 忆阻神经网络 (BAMMNN) 的全局指数同步 (GES)。与现有文献不同，本文基于一种新的无限分布延迟积分不等式讨论了神经网络的GES。该方法基于不等式技术和比较原理，使得Lyapunov函数和控制器的形式更加简单。接下来，通过引入两种不同的控制策略和驱动响应的概念，得到了确保所提出系统的GES的两个充分条件。值得注意的是，代数不等式得到的结果是前面结论的延伸。最后通过两个实例验证了结论的正确性。