计算机技术与发展2016，Vol.26Issue(9)：167-170,4.DOI:10.3969/j.issn.1673-629X.2016.09.037
外部输入与两单元CNN的完全稳定性
Complete Stability of Two-cell Cellular Neural Networks with External Inputs
摘要
Abstract
Cellular neural networks have been widely used in image processing,pattern recognition and other fields. The base of the appli-cations is the realization of the dynamics,especially when there will be a limit cycle and how the network is stable. In this paper,a case of two-cell cellular neural networks with external inputs is studied which has been proved it is not completely stable without external inputs. The feature of the network without external inputs is that there is only one fixed point in region 0 and there is a limit cycle around region 0. It will prove that with external inputs and their values in given domain,the network still has the feature that it is not completely stable and there is a limit cycle around region 0. This indicates the CNN(2) without external inputs is only a special sub-case of that with exter-nal inputs. The domain of the external inputs values is also given. The result has expanded the understandings about the dynamics of the CNN(2) . He results on two-cell cellular neural networks will help to further study the nonlinear dynamics of large-scale cellular neural networks,and will also help to further expand its applications in function approximation,pattern recognition,image processing,and others.关键词
细胞神经网络/齐点/极限环/稳定性Key words
CNN/fixed point/limit cycle/complete stability分类
信息技术与安全科学引用本文复制引用
贺国旗,韩泉叶,陈绥阳..外部输入与两单元CNN的完全稳定性[J].计算机技术与发展,2016,26(9):167-170,4.基金项目
陕西省2014年重大科技创新项目(2014ZKC03-18) （2014ZKC03-18）
陕西省2014年度信息化重点建设项目(陕工信发也2014页199号) （陕工信发也2014页199号）
