Abstract：
This paper investigates the pinning synchronization of stochastic neutral memristive neural networks with reaction-diffusion terms. Firstly, two novel pinning controllers, which contain both current state and past state, are designed. Subsequently, in terms of Green\'s theorem, inequality technology, stochastic analysis theory and pinning control technology, two easy-to-test sufficient conditions based on algebraic inequalities are obtained to ensure the mean-square asymptotic synchronization of stochastic memristive neural networks with neutral delays and reaction-diffusion terms by providing a new Lyapunov-Krasovskii functional. In addition, some existing results can be regarded as special cases of our work. Finally, illustrative examples further verify the correctness and validity of the derived results.
摘要：
本文研究了具有反应扩散项的随机中性忆阻神经网络的钉扎同步。首先,两个新颖的钉扎控制器，包含当前状态和过去状态，是设计的。随后，根据格林定理，不平等技术，随机分析理论和钉扎控制技术，通过提供一个新的Lyapunov-Krasovskii泛函，得到了两个基于代数不等式的易于检验的充分条件，以确保具有中立时滞和反应扩散项的随机忆阻神经网络的均方渐近同步。此外,一些现有的结果可以被视为我们工作的特例。最后,算例进一步验证了所得结果的正确性和有效性。
