基于时滞分割技术的时滞神经网络系统时滞相依全局稳定性分析

Delay-Dependent Global Stability of Neural Networks With Time Delay Based on Delay Fractitioning Technique

通过构造一个新的增广Lyapunov-Krasovskii泛函,利用时滞分割技术并结合自由权矩阵、Jensen积分不等式,得到一个时滞神经网络系统时滞相依全局渐近稳定新判据。该判据以LMI的形式给出,便于计算和验证。数值实例表明,文章结果改进了相关文献结论,具有更低的保守性。

In this paper, a delay-dependent stability sufficient condition was obtained by a newly constructed Lyapunov- Krasovskii functional together with delay fractioning technique, free weighing matrix method and Jensen integral inequali. ty, which was in form of LMIs and was less conservative than the existing ones.