摘要
就一类高阶时滞Cohen-Grossberg神经网络进行研究.假设反应函数满足Lipschitz连续且有界.用非线性测度的方法得到了关于平衡点的存在性和惟一性的一种新的充分性的判别条件.同时,通过构造一个合适的Lyapunov函数,得到的这个条件也保证了时滞神经网络的全局指数稳定性.
In this paper, a class of high-order Cohen-Grossberg neural networks with time delay is investigated. The activation functions are assumed to be Lipschitz continuous and bounded. A new sufficient condition is obtained to ensure the existence and uniqueness of the equilibrium based on the nonlinear measure. Meanwhile, the condition obtained also guarantees the global exponential stability of the delayed neural networks via constructing a suitable Lyapunov function.
出处
《新疆大学学报（自然科学版）》
CAS
2008年第1期28-35,共8页
Journal of Xinjiang University(Natural Science Edition)
基金
This work was supported by the National Natural Science Foundation of P.R.China(10361004)
the Major Project of The Ministry of Education of P.R.China and the Funded by Scientific Research Program of the Higher Education Institution of Xin-jiang(XJEDU2004I12)
