期刊文献+

求解逆变分不等式的一个神经网络模型

A NEURAL NETWORK MODEL FOR MONOTONE INVERSE VARIATIONAL INEQUALITIES
下载PDF
导出
摘要 本文对于求解实际生活中具有广泛应用的逆变分不等式给出了一个神经网络的模型,在一定的条件下,所提出来的神经网络模型不仅是Lyapunov稳定的,而且全局渐近收敛于原问题的一个精确解. A neural network model is given in this paper for solving monotone inverse variational inequalities,which have wide applications.Under mild conditions,the proposed neural network is shown to be globally convergent and globally asymptotically stable.
作者 蒋智凯
出处 《南京大学学报(数学半年刊)》 CAS 2010年第2期272-278,共7页 Journal of Nanjing University(Mathematical Biquarterly)
基金 淮海工学院资助(KX08037)
关键词 逆变分不等式 单调映射 神经网络 Inverse variational inequality monotone mapping neural network
  • 相关文献

参考文献20

  • 1Bouzerdoum A and Pattison T R.Neural Network for Quadratic Optimization with Bound Constraints,IEEE Trans.Neural Networks,1993,4:293-304.
  • 2Cichocki A and Unbehauen R.Neural Networks for Optimization and Signal Processing.New York:Wiley,1993.
  • 3Cottle R W,Giannessi F and Lions J L.Variational Inequalities and Complementarity Problems:Theorey and Applications.New York:Wiley,1980.
  • 4Eaves B C.On the Basic Theorem of Complementarity.Math Prog.,1971,1:68-75.
  • 5Ferris M C and Pang J S.Engineering and Economic Applications of Complementarity Problems.SIAM Rev.,1997,39:669-713.
  • 6Friesz T L,Bernstein D H,Mehta N J,Tobin R L and Ganjlizadeh S.Day-to-day Dynamic Network Disequilibria and Idealized Traveler Information Systems,Oper.Res.,1994,42(6):1120-1136.
  • 7Gao X B,Liao L Z and Qi L Q.A Novel Neural Network for Variational Inequalities with Linear and Nonlinear Constraints,IEEE Trans.Neural Networks,2005(6):1305-1317.
  • 8Harker P T and Pang J S.Finite-dimensional Variational Inequality and Nonlinear Complementarity Problems:A Survey of Theory.Algorithms and Applications,Math Prog.,1990,48:161-220.
  • 9He B S,He X Z and Liu H X.Solving a Class of Constrained Black-box Inverse Variational Inequalities.Euro.J.of Oper.Res.,2010,204(3):391-401.
  • 10He B S and Yang H.A Neural Network Model for Monotone Asymmetric Linear Variational Inequalities.IEEE Trans.Neural Networks,2000,11(1):3-16.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部