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Neural Processing Letters
Published in: Neural Processing Letters 2/2019

17-05-2018

New Delay-Dependent Stability Criteria for Impulsive Neural Networks with Additive Time-Varying Delay Components and Leakage Term

Authors: R. Samidurai, S. Rajavel, Jinde Cao, Ahmed Alsaedi, Bashir Ahmad

Published in: Neural Processing Letters | Issue 2/2019

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Abstract

This work is concerned with the delay-dependent stability problem for uncertain impulsive neural networks (NNs) with additive time-varying delay components and leakage term. We construct a newly augmented Lyapunov–Krasovskii (L–K) functional which contains triple and four integral terms and then utilizing free-matrix-based integral inequality to bound the derivative of the Lyapunov–Krasovskii functional. Some sufficient conditions are derived to assure the delay-dependent stability of the impulsive NNs by the linear matrix inequality, which is less conservative than some existing results and can be readily verified by the convex optimization algorithms. In addition, some information of activation function ignored in previous works has been taken into account in the resulting condition. In the end, three numerical examples are provided to illustrate the effectiveness of the proposed criteria.
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Metadata
Title
New Delay-Dependent Stability Criteria for Impulsive Neural Networks with Additive Time-Varying Delay Components and Leakage Term
Authors
R. Samidurai
S. Rajavel
Jinde Cao
Ahmed Alsaedi
Bashir Ahmad
Publication date
17-05-2018
Publisher
Springer US
Published in
Neural Processing Letters / Issue 2/2019
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-018-9855-z

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