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Non-Linear Feedback Neural Network for Solution of Quadratic Programming Problems

by Mohd. Samar Ansari, Syed Atiqur Rahman
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 39 - Number 2
Year of Publication: 2012
Authors: Mohd. Samar Ansari, Syed Atiqur Rahman
10.5120/4796-7049

Mohd. Samar Ansari, Syed Atiqur Rahman . Non-Linear Feedback Neural Network for Solution of Quadratic Programming Problems. International Journal of Computer Applications. 39, 2 ( February 2012), 44-48. DOI=10.5120/4796-7049

@article{ 10.5120/4796-7049,
author = { Mohd. Samar Ansari, Syed Atiqur Rahman },
title = { Non-Linear Feedback Neural Network for Solution of Quadratic Programming Problems },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 39 },
number = { 2 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 44-48 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume39/number2/4796-7049/ },
doi = { 10.5120/4796-7049 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:25:26.059912+05:30
%A Mohd. Samar Ansari
%A Syed Atiqur Rahman
%T Non-Linear Feedback Neural Network for Solution of Quadratic Programming Problems
%J International Journal of Computer Applications
%@ 0975-8887
%V 39
%N 2
%P 44-48
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a recurrent neural circuit for solving quadratic programming problems. The objective is tominimize a quadratic cost function subject to linearconstraints. The proposed circuit employs non-linearfeedback, in the form of unipolar comparators, to introducetranscendental terms in the energy function ensuring fastconvergence to the solution. The proof of validity of the energy function is also provided. The hardware complexity of the proposed circuit comparesfavorably with other proposed circuits for the same task. PSPICE simulation results arepresented for a chosen optimization problem and are foundto agree with the algebraic solution.

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Index Terms

Computer Science
Information Sciences

Keywords

Dynamical Systems Non-Linear Synapse Feedback Networks.

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