非线性规划神经网络模型
THE NEURAL NETWORK MODEL FOR NONLINEAR PROGRAMMING PROBLEMS
-
摘要: 本文提出一种求解闭凸集上非线性规划问题的神经网络模型,给出了它的Liapunov函数,在适当的假设下,运用La Salle不变性原理证明了它的大范围渐近稳定性,并给出了计算机模拟。Abstract: This paper presents a kind of neural network model for nonlinear programming problems on the closed convex sets, defines its Liapunov energy function and shows its global asymptotic stability by using La Salle invariant principle under proper assumptions. Finally, the simulations are given to illustrate the correctness of proposed model.
-
Tank D W;Hopfield J J.Simpleneuraloptimization networks.IEEE Trans.on CAS,1986, CAS-33(5):533-541.[2]Xia Y.A new neural network for solving linear and quadratic problems.IEEE Trans.on NN, 1996,NN-7(6):1544-1547.[3]陶卿,王常波,方廷健.一种求解闭凸集上二次规划问题的神经网络型.模式识别与人工智能,1998,11(1): 83-87.[4]张学铭,李训经,陈祖浩.最优控制系统的常微分方程理论.北京:高等教育出版杜,1989,50-201[5]La Salle J P.The Stability of Dynamical Systems. Philadelphia,PA:SLAM,1976,20-40.[6]郭大均.非线性泛函分析.济南:山东科技出版社,1985,437-460.[7]焦李成.神经网络计算.西安:西安电子科技大学出版社,1995,105-295.[8]张石生.变分不等式及其应用.北京:科学出版社,1990,100-120.[9]Kennedy M P,Chua L O.Neural networks for nonlinear programming. On IEEE Trans.On CAS,1988,CAS-35(5):554-562.
计量
- 文章访问数: 2009
- HTML全文浏览量: 112
- PDF下载量: 396
- 被引次数: 0