College of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China.
Neural Netw. 2015 Jan;61:49-58. doi: 10.1016/j.neunet.2014.10.004. Epub 2014 Oct 30.
In this paper, based on the knowledge of memristor and recurrent neural networks (RNNs), the model of the memristor-based RNNs with discrete and distributed delays is established. By constructing proper Lyapunov functionals and using inequality technique, several sufficient conditions are given to ensure the passivity of the memristor-based RNNs with discrete and distributed delays in the sense of Filippov solutions. The passivity conditions here are presented in terms of linear matrix inequalities, which can be easily solved by using Matlab Tools. In addition, the results of this paper complement and extend the earlier publications. Finally, numerical simulations are employed to illustrate the effectiveness of the obtained results.
本文基于忆阻器和递归神经网络（RNN）的知识，建立了具有离散和分布时滞的基于忆阻器的RNN模型。通过构造适当的李雅普诺夫泛函并运用不等式技术，给出了几个充分条件，以确保在菲利波夫解意义下具有离散和分布时滞的基于忆阻器的RNN的无源性。这里的无源性条件以线性矩阵不等式的形式给出，可以通过Matlab工具轻松求解。此外，本文的结果补充并扩展了早期的出版物。最后，通过数值模拟来说明所得结果的有效性。
