一类神经网络模型的稳定性

STABILITY OF A CLASS OF NEURAL NETWORK MODELS

本文将一种求解凸规划问题的神经网络模型推广到求解一般的非凸非线性规划问题．理论分析表明；在适当的条件下，本文提出的求解非凸非线性规划问题的神经网络模型的平衡点是渐近稳定的。

A neural network model for solving the convex programming problems is extended to solving the general nonconvex nonlinear programming problems in the paper. Thetheoretical analysis indicates that under suitable conditions the equilibrium point of the proposed neural network model for solving the nonconvex nonlinear programming problems isasymptotically stable and corresponds to the local optimal solution to the nonlinear programming problems.