Tbilisi Mathematical Journal

Stability and synchronization of delayed fractional-order projection neural network with piecewise constant argument of mixed type

Swati Tyagi and Syed Abbas

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Abstract

Projection equations arise in several optimization problems and possess significant applications in many areas of science and engineering. In this paper, we propose a fractional-order projection neural network to solve quadratic programming problems. We study stability and synchronization for a class of delayed projection neural networks of mixed type via impulsive control. Using concepts of fractional calculus, we investigate the existence of solution and study its global asymptotic stability. Moreover, we propose an effective impulsive control scheme to achieve synchronization for the system. We demonstrate the validity and transient behaviour of the proposed neural network with the help of suitable examples.

Article information

Source
Tbilisi Math. J., Volume 10, Issue 1 (2017), 57-74.

Dates
Received: 23 April 2015
Accepted: 30 May 2016
First available in Project Euclid: 26 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1527300017

Digital Object Identifier
doi:10.1515/tmj-2017-0003

Mathematical Reviews number (MathSciNet)
MR3607266

Zentralblatt MATH identifier
1358.26012

Subjects
Primary: 26A33: Fractional derivatives and integrals
Secondary: 34D23: Global stability 90C20: Quadratic programming 34D06: Synchronization

Keywords
Fractional-order Projection Neural Network Mittag-Leffer stability Piecewise constant argument of generalized type Synchronization

Citation

Tyagi, Swati; Abbas, Syed. Stability and synchronization of delayed fractional-order projection neural network with piecewise constant argument of mixed type. Tbilisi Math. J. 10 (2017), no. 1, 57--74. doi:10.1515/tmj-2017-0003. https://projecteuclid.org/euclid.tbilisi/1527300017


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