A Modified Projection Neural Network for Linear Variational Inequalities and Quadratic Optimization Problems

Authors:
Minghui Jiang;Yongqing Zhao;Yi Shen
Affiliations:
Institute of Nonlinear and Complex System, China Three Gorges University, YiChang, China 443002;Institute of Nonlinear and Complex System, China Three Gorges University, YiChang, China 443002;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074
Venue:
ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part III
Year:
2009

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Abstract

Variational inequalities provide us with a tool to study a wide class of optimization arising in pure and applied sciences. In the paper,we present a neural network for solving linear variational inequalities and quadratic optimization by using a projection techniques. We also consider the global uniqueness of the solution of the neural network as well as the convergence of the modified projection neural network. Our results present a significant improvement of previously known projection methods for solving variational inequalities and related optimization problems. Two simulation examples are provided to show the effectiveness of the approach and applicability of the proposed criteria.