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Neural Processing Letters
Published in: Neural Processing Letters 2/2017

28-02-2017

Finite-time Stability of Fractional-order Complex-valued Neural Networks with Time Delays

Authors: Xiaoshuai Ding, Jinde Cao, Xuan Zhao, Fuad E. Alsaadi

Published in: Neural Processing Letters | Issue 2/2017

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Abstract

The analysis of finite-time stability for a class of fractional-order complex valued neural networks with delays is considered in this paper. Utilizing Gronwall inequality, Cauchy-Schiwartz inequality and inequality scaling techniques, some sufficient conditions for guaranteeing the finite-time stability of the system are derived respectively under two cases with order \(1/2\le \alpha < 1\) and \(0<\alpha <1/2\), in which different inequality scaling strategies are employed. Two numerical examples are also proposed to demonstrate the validity and feasibility of the obtained results.
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Metadata
Title
Finite-time Stability of Fractional-order Complex-valued Neural Networks with Time Delays
Authors
Xiaoshuai Ding
Jinde Cao
Xuan Zhao
Fuad E. Alsaadi
Publication date
28-02-2017
Publisher
Springer US
Published in
Neural Processing Letters / Issue 2/2017
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-017-9604-8

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