变时滞神经网络的时滞相关指数稳定性判据

Criterion of delay-dependent exponential stability of neural networks with time-varying delays

研究其具有变时滞的神经网络的时滞相关指数稳定性问题.利用Lyapunov-Krasovskii泛函和自由权矩阵方法,提出此类神经网络有唯一稳定点和全局指数稳定的充分条件.不要求激活函数的单调递增性和时滞导数小于1,具有较弱的保守性.通过算例验证所给方法的正确性.

The problem of delay-dependent exponential stability of neural networks with time-varying delays was investigated.It was proposed that for this kind of neural networks there were sufficient conditions of existence of a unique equilibrium point and global exponential stability,by using Lyapunov-Krasovskii functional and free weighting matrices method.It was not required that the activation functions should be monotonic,and the derivative of the time-varying delay function should be less than unit so that there was less conservativeness.An example was given to demonstrate the validity of the method proposed.