具有S-分布延时和脉冲控制的一类神经网络的鲁棒同步

具有脉冲的神经网络作为一种典型的混合系统在图像处理、模式识别、优化控制等实际工程中有广泛的应用.在这些应用中,要求神经网络具有鲁棒同步性质.因此,神经网络的鲁棒同步性研究受到许多学者的关注.本文将不确定非线性耦合函数引进到一般类神经网络中,通过构造适当的Lyapunov函数和运用一些不等式分析技术,研究了具有S-分布延时和脉冲控制的神经网络的鲁棒同步性质,得到了保证网络具有一般脉冲鲁棒同步的一个实用条件.

Robust synchronization of a class of neural network with S-distribution delay and impulsive control

As a kind of hybrid systems,impulsive neural networks are extensively applied in image processing,pattern recognition,optimization control and so on.In these applications,the robust synchronous properties are requested.Therefore,robust synchronous properties of the neural network under impulsive control has received attention from a lot of scholars.In this paper,the uncertain coupling function is introduced into the general neural network,by constructing an appropriate Lyapunov function and using some inequality analysis technology.The robust synchronous properties of the neural network with S-distribution delay and impulsive control are investigated.A condition is derived to guarantee that this network has impulsive robust synchronization.