PROJECTED DYNAMICAL SYSTEMS AND OPTIMIZATION PROBLEMS

被引：0

作者：

Malek, A. ^{[1
]}

Ezazipour, S. ^{[1
]}

Hosseinipour-Mahani, N. ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Dept Appl Math, Fac Math Sci, Tehran, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2011年 / 37卷 / 02期

关键词：

Dynamical systems; optimization problems; neural networks; variational inequalities; globally convergence; STABILITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a relationship between general constrained pseudoconvex optimization problems and globally projected dynamical systems. A corresponding novel neural network model, which is globally convergent and stable in the sense of Lyapunov, is proposed. Both theoretical and numerical approaches are considered. Numerical simulations for three constrained nonlinear optimization problems are given to show that the numerical behaviors are in good agreement with the theoretical results.

引用

页码：85 / 100

页数：16

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