时滞神经网络的全局渐近稳定性分析

Global Asymptotic Stability of Neural Networks with Time Delay

研究一类具有时滞的细胞神经网络的稳定性问题,利用Lyapunov-Krasovskii泛函的方法,给出时滞相关的稳定性判据。稳定性判据是以线性矩阵不等式的形式给出,可以很容易得出时滞的上界。在得到时滞相关的稳定性判据的同时也可以得到时滞无关的稳定性判据。数值算例说明其结果的优越性。

The global asymptotic stability problem of Cellular neural networks with delay is investigated. A new stability condition is presented based on Lyapunov - Krasovskii method, which is dependent on the size of delay. The result is given in the form of LMI, and the admitted upper bound of the delay can be obtained easily. The time delay dependent and independent results can be obtained, which include some results in the former literature. Finally, a numerical example is given to illustrate the effectiveness of the main results.