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Jan 2017 Stability and synchronization of delayed fractional-order projection neural network with piecewise constant argument of mixed type
Swati Tyagi, Syed Abbas
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Tbilisi Math. J. 10(1): 57-74 (Jan 2017). DOI: 10.1515/tmj-2017-0003

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.

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Swati Tyagi. Syed Abbas. "Stability and synchronization of delayed fractional-order projection neural network with piecewise constant argument of mixed type." Tbilisi Math. J. 10 (1) 57 - 74, Jan 2017. https://doi.org/10.1515/tmj-2017-0003

Information

Received: 23 April 2015; Accepted: 30 May 2016; Published: Jan 2017
First available in Project Euclid: 26 May 2018

zbMATH: 1358.26012
MathSciNet: MR3607266
Digital Object Identifier: 10.1515/tmj-2017-0003

Subjects:
Primary: 26A33
Secondary: 34D06, 34D23, 90C20

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

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Vol.10 • No. 1 • Jan 2017
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