具有时滞的非自治细胞神经网络的有界性与稳定性
Boundedness and stability for nonautonomous cellular neural networks with delay.
作者信息
Rehim Mehbuba, Jiang Haijun, Teng Zhidong
机构信息
Department of Mathematics, Xinjiang University, Urumqi 830046, China.
出版信息
Neural Netw. 2004 Sep;17(7):1017-25. doi: 10.1016/j.neunet.2004.03.009.
PMID:15312843
Abstract
In this paper, a class of nonautonomous cellular neural networks is studied. By constructing a suitable Liapunov functional, applying the boundedness theorem for general functional-differential equations and the Banach fixed point theorem, a series of new criteria are obtained on the boundedness, global exponential stability, and existence of periodic solutions.
摘要
本文研究了一类非自治细胞神经网络。通过构造适当的李雅普诺夫泛函，应用一般泛函微分方程的有界性定理和巴拿赫不动点定理，得到了关于有界性、全局指数稳定性和周期解存在性的一系列新准则。
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