A New Type of Lagrange Nonlinear Programming Neural Network

HUANG Yuan-can

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A New Type of Lagrange Nonlinear Programming Neural Network

更新时间：2025-07-16

- A New Type of Lagrange Nonlinear Programming Neural Network
- Acta Electronica Sinica Vol. 30, Issue 1, Pages: 27-29(2002)
- 作者机构：
  
  1. 北京理工大学自动控制系,北京,100081
  2. 北京理工大学自动控制系北京,100081
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP183
- Published：2002
- 稿件说明：
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HUANG Yuan-can. A New Type of Lagrange Nonlinear Programming Neural Network[J]. Acta Electronica Sinica, 2002, 30(1): 27-29.
DOI：

HUANG Yuan-can. A New Type of Lagrange Nonlinear Programming Neural Network[J]. Acta Electronica Sinica, 2002, 30(1): 27-29. DOI：

摘要

通过改造Lagrange乘子项

对不等式约束和等式约束用同样的方法处理

构造出一种新型的Lagrange非线性规划神经网络

并对网络的稳定性和收敛性进行严格的理论分析.而且

用增加惩罚项的方法

放宽网络收敛的条件.

Abstract

By modifying the Lagrange multipliers

both equality and inequality constraints can be treated identically.Based on this idea

a new type of Lagrange nonlinear programming neural network is constructed

and the stability and convergence of the neural network are analyzed rigorously.Furthermore

the convergence condition of the network is relaxed by the approach of adding the penalty terms in the Lagrangian function.

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