Abstract

In this paper, the passivity and passification issue are considered for a class of dynamic memristor neural networks (DMNNs) with delays. Different from the models with respect to memristive neural networks in the literature, the flux-controlled dynamic memristors are used in the neurons and finite concentrated delays are accounted for in the interconnections. With the construction of suitable Lyapunov-Krasovskii functional (LKF), a novel passivity criteria, which involves the interconnection matrix, the delayed interconnection matrix and nonlinear memristor, is addressed in the form of linear matrix inequalities (LMIs) in the flux-charge domain. In addition, for state feedback passification, two procedures for designing passification controllers are proposed in terms of LMIs to guarantee that the considered DMNNs are passive. Finally, two examples are provided to illustrate the validity of the theoretical results.

中文翻译：

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磁通电荷域中具有延迟的动态忆阻神经网络的无源性和无源性

摘要

本文针对一类具有时滞的动态忆阻神经网络（DMNN）考虑了无源性和钝化问题。与关于忆阻神经网络的模型不同，在神经元中使用了磁通量控制的动态忆阻器，并且在互连中考虑了有限的集中延迟。通过构造合适的Lyapunov-Krasovskii泛函（LKF），以通量电荷域中线性矩阵不等式（LMI）的形式解决了涉及互连矩阵，延迟互连矩阵和非线性忆阻器的新型无源性准则。 。此外，对于状态反馈钝化，针对LMI提出了两种设计钝化控制器的程序，以确保所考虑的DMNN是无源的。最后，