期刊文献+

基于L-S Lagrange函数的神经网络方法

A neural network based on L-S Lagrange function
下载PDF
导出
摘要 利用非线性规划的Log-Sigmoid(L-S)型Lagrange函数及其对偶问题的性质,提出一种求解优化问题的神经网络方法,并讨论网络的收敛性和稳定性条件,算例表明该神经网络能有效求解. A nural network was pretended on the base of L-S Lagrange function of nonlinear programming and its dual problem.The convergence and stability were discussed and the validity of the networks was demonstrated by several numerical examples.
作者 彭爱民
出处 《湖北大学学报(自然科学版)》 CAS 2012年第2期231-234,共4页 Journal of Hubei University:Natural Science
关键词 L-S LAGRANGE函数 神经网络 渐近稳定 L-S Lagrange function neural networks asymptoticially stable
  • 相关文献

参考文献7

  • 1Hopfield J J.Neural networks and physical systems with emergent collective computational abilities[J],1982(04). 被引量:1
  • 2Hopfield J J.Neurons with graded response have collective computational properties like those of two-state neurons[J],1984(05). 被引量:1
  • 3Kennedy M P;Chuo L O.Neural networks for nonlinear programming[J],1988(05). 被引量:1
  • 4Zhang S;Constantinides A G.Lagrange programming neural networks,1992(07). 被引量:1
  • 5黄远灿.Lagrange神经网络的稳定性分析[J].控制与决策,2005,20(5):545-548. 被引量:4
  • 6Polyak R.Log-Sigmoid multipliers method in constrained optimization,2001. 被引量:1
  • 7Chen K Z;Leung Y;Leung K S.A neural network for solving nonlinear programming porblems,2002(02). 被引量:1

二级参考文献17

  • 1Rockafellar R T.Lagrange multiplier and optimality[J].SIAM Review,1993,35:183-238. 被引量:1
  • 2Bertsekas D P.Nonlinear programming[M].2nd ed.Belmont:Athena Scientific,1999. 被引量:1
  • 3Lakshmikantham V,Matrosov V M,Sivasundaram S.Vector lyapunov functions and stability analysis of nonlinear systems[M].Dordrecht:Kluwer Academic Publisher,1991. 被引量:1
  • 4LaSalle J P.The stability of dynamical systems[M].New York:Springer,1976. 被引量:1
  • 5Marquez H J.Nonlinear control systems-analysis and design[M].New Jersey:John Wiley & Sons,2003. 被引量:1
  • 6Hopfield J J.Neural networks and physical systems with emergent collective computational abilities[J].Proc of the National Academy of Sciences,1982,79(4):2554-2558. 被引量:1
  • 7Hopfield J J.Neurons with graded response have collective computational properties like those of two-state neurons[J].Proc of the National Academy of Sciences,1984,81(5):3088-3092. 被引量:1
  • 8Hopfield J J,Tank D W.Neural computation of desicion in optimization problems[J].Biology Cybernetics,1985,52(1):141-152. 被引量:1
  • 9Tank D W,Hopfield J J.Simple 'neural' optimization network:An A/D converter,signal decision circuit,and a linear programming circuit[J].IEEE Trans on Circuits and Systems,1986,CAS-33(5):533-541. 被引量:1
  • 10Kennedy M P,Chuo L O.Neural networks for nonlinear programming[J].IEEE Trans on Circuits and Systems,1988,CAS-35(5):554-562. 被引量:1

共引文献3

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