A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis

This paper presents a nonlinear projection neural network for solving interval quadratic programs subject to box-set constraints in engineering applications. Based on the Saddle point theorem, the equilibrium point of the proposed neural network is proved to be equivalent to the optimal solution of...

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Main Authors:	Huaiqin Wu, Rui Shi, Leijie Qin, Feng Tao, Lijun He
Format:	Article
Language:	English
Published:	Hindawi Limited 2010-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2010/403749

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spelling	doaj-3aac452c31a345e0be4295d9eb4a54462020-11-24T22:22:52ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472010-01-01201010.1155/2010/403749403749A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability AnalysisHuaiqin Wu0Rui Shi1Leijie Qin2Feng Tao3Lijun He4College of Science, Yanshan University, Qinhuangdao 066001, ChinaCollege of Science, Yanshan University, Qinhuangdao 066001, ChinaCollege of Science, Yanshan University, Qinhuangdao 066001, ChinaCollege of Science, Yanshan University, Qinhuangdao 066001, ChinaCollege of Science, Yanshan University, Qinhuangdao 066001, ChinaThis paper presents a nonlinear projection neural network for solving interval quadratic programs subject to box-set constraints in engineering applications. Based on the Saddle point theorem, the equilibrium point of the proposed neural network is proved to be equivalent to the optimal solution of the interval quadratic optimization problems. By employing Lyapunov function approach, the global exponential stability of the proposed neural network is analyzed. Two illustrative examples are provided to show the feasibility and the efficiency of the proposed method in this paper.http://dx.doi.org/10.1155/2010/403749
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Huaiqin Wu Rui Shi Leijie Qin Feng Tao Lijun He
spellingShingle	Huaiqin Wu Rui Shi Leijie Qin Feng Tao Lijun He A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis Mathematical Problems in Engineering
author_facet	Huaiqin Wu Rui Shi Leijie Qin Feng Tao Lijun He
author_sort	Huaiqin Wu
title	A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis
title_short	A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis
title_full	A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis
title_fullStr	A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis
title_full_unstemmed	A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis
title_sort	nonlinear projection neural network for solving interval quadratic programming problems and its stability analysis
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2010-01-01
description	This paper presents a nonlinear projection neural network for solving interval quadratic programs subject to box-set constraints in engineering applications. Based on the Saddle point theorem, the equilibrium point of the proposed neural network is proved to be equivalent to the optimal solution of the interval quadratic optimization problems. By employing Lyapunov function approach, the global exponential stability of the proposed neural network is analyzed. Two illustrative examples are provided to show the feasibility and the efficiency of the proposed method in this paper.
url	http://dx.doi.org/10.1155/2010/403749
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A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis

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