利用时滞分割的方法研究系统的稳定性

Delay decomposition method for stability analysis of systems

研究了带有时变时滞的神经网络系统,通过构造新的Lyapunov-Krasovslii泛函,利用时滞的分割方法,倒凸不等式,Schur定理和添加自由权矩阵等方法,依据Lyapunov稳定理论,用线性矩阵不等式的形式,建立了系统的平衡点是渐近稳定的新标准,最后通过实验证明了新标准可以更好的降低了已有结果的保守性.

This paper studies the problem of neural network with time - varying delay systems. It constructs a new Lyapunov functional, and uses delay fine division,lower and upper bounds ,Schur theorem and add liberty matrix. Thus, according to Lya- punov stability theory,a new standards is established to guarantee the stability of uncertain delayed neural network. Examples are given to illustrate the conservatism and effectiveness.