具有分布时滞的高阶Hopfield神经网络的全局稳定性判据

摘要

In this paper, the global asymptotic stability is studied for a class of high-order Hopfield net-works (HHNNs) with continuously distributed delays by employing Lyapunov functionals and linear matrix inequality (LMI) technique. Some sufficient conditions are given to ensure the global asymptotic stability of the system. In addition, the proposed conditions are easily checked using the Matlab LMI control toolbox.%通过使用Lyapunov泛函方法和LMI方法研究了具有连续分布时滞的高阶Hopfield神经网络(HHNNs)的全局渐近稳定性,得到了系统全局渐近稳定的充分条件.通过使用Matlab中的LMI工具箱验证了结果的有效性.