一类含有分布时滞神经网络的稳定性分析

Stability analysis on a class of neural networks with distributed delays

研究了一类含有分布时滞的神经网络的渐近稳定性问题.利用线性矩阵不等式(LMI)方法,并且引入适当的自由权矩阵,得到了一个新的时滞依赖的稳定性判据,所得判据是以线性矩阵不等式的形式给出,便于直接应用.最后给出的数值例子说明了所得结论的有效性和优越性.

In this paper, the asymptotical stability problem is considered for a class of neural networks with distributed delay. By employing the linear matrix inequality （LMI） method and some appropriate free-weight matrices, anew delay-dependent criterion is obtained, and the result is in terms of linear matrix inequality, which is convenient to use directly. Finally, a numerical example is given to indicate effectiveness and benefits of the obtained result.