[1]刘德友,牛九肖.求解一类新的二次规划问题的时滞投影神经网络方法[J].华侨大学学报(自然科学版),2013,34(2):230-235.[doi:10.11830/ISSN.1000-5013.2013.02.0230]
　LIU De-you,NIU Jiu-xiao.A Delayed Projection Neural Network for Solving a New Quadratic Programming Problems[J].Journal of Huaqiao University(Natural Science),2013,34(2):230-235.[doi:10.11830/ISSN.1000-5013.2013.02.0230]
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求解一类新的二次规划问题的时滞投影神经网络方法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第34卷
期数:
2013年第2期
页码:
230-235
栏目:
出版日期:
2013-03-20

文章信息/Info

Title:
A Delayed Projection Neural Network for Solving a New Quadratic Programming Problems
文章编号:
1000-5013(2013)02-0230-06
作者:
刘德友;  牛九肖
燕山大学 理学院, 河北 秦皇岛 066004
Author(s):
LIU De-you;  NIU Jiu-xiao
College of Science, Yanshan University, Qinhuangdao 066004, China
关键词:
亚正定矩阵;  全局稳定;  时滞投影;  李雅普诺夫函数;  最优解
Keywords:
subdefinite matrices;  globally stable;  delayed projection;  lyapunov function;  optimal solution
分类号:
O175
DOI:
10.11830/ISSN.1000-5013.2013.02.0230
文献标志码:
A
摘要:
把Q为正定矩阵或半正定矩阵推广到Q为亚正定矩阵,利用时滞投影神经网络模型和李亚普诺夫函数的特性,给出判断这种特殊二次优化最优解的充分条件.最后通过数值仿真说明了该网络的有效性.
Abstract:
In this paper, we studied the stability of the optimal solution of a new quadratic programming problem which is the promotion of the convex quadratic programming. We give the sufficient condition to determine the stability of the equilibrium point and propose a delayed projection neural network to solve this quadratic programming. By constructing a suitable Lyapunov function, the proposed neural network is proved to be globally stable. Simulation results with some applications show the efficient of the proposed neural network.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2012-08-05
通信作者: 刘德友(1961-),男,教授,主要从事神经网络稳定性的研究.E-mail:liudeyouysu@163.com.
基金项目: 国家自然科学基金资助项目(71071133)
更新日期/Last Update: 2013-03-20