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

Joint Authors

He, Lijun
Qin, Leijie
Tao, Feng
Wu, Huaiqin
Shi, Rui

Source

Mathematical Problems in Engineering

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-08-29

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Civil Engineering

Abstract EN

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.

American Psychological Association (APA)

Wu, Huaiqin& Shi, Rui& Qin, Leijie& Tao, Feng& He, Lijun. 2010. A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-469322

Modern Language Association (MLA)

Wu, Huaiqin…[et al.]. A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis. Mathematical Problems in Engineering No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-469322

American Medical Association (AMA)

Wu, Huaiqin& Shi, Rui& Qin, Leijie& Tao, Feng& He, Lijun. A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-469322

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-469322